{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from ggplot import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### `scale_color_gradient`\n",
    "`scale_color_gradient` applies a color gradient to continuous color variables in your ggplots. Its parameters are:\n",
    "\n",
    "- `low` - low end of the gradient\n",
    "- `high` - high end of the gradient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pos</th>\n",
       "      <th>breeder</th>\n",
       "      <th>pigeon</th>\n",
       "      <th>name</th>\n",
       "      <th>color</th>\n",
       "      <th>sex</th>\n",
       "      <th>ent</th>\n",
       "      <th>arrival</th>\n",
       "      <th>speed</th>\n",
       "      <th>to_win</th>\n",
       "      <th>eligible</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Texas Outlaws</td>\n",
       "      <td>19633-AU15-FOYS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>BCWF</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>42:14.0</td>\n",
       "      <td>172.155</td>\n",
       "      <td>0:00:00</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Junior Juanich</td>\n",
       "      <td>0402-AU15-JRL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>SIWF</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:36.0</td>\n",
       "      <td>163.569</td>\n",
       "      <td>0:05:21</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Jerry Allensworth</td>\n",
       "      <td>0404-AU15-VITA</td>\n",
       "      <td>Perch Potato</td>\n",
       "      <td>BB</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:41.0</td>\n",
       "      <td>163.442</td>\n",
       "      <td>0:05:27</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Alias-Alias</td>\n",
       "      <td>2013-AU15-ALIA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>BBSP</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:43.0</td>\n",
       "      <td>163.392</td>\n",
       "      <td>0:05:28</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Greg Glazier</td>\n",
       "      <td>5749-AU15-SLI</td>\n",
       "      <td>NaN</td>\n",
       "      <td>BC</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:44.0</td>\n",
       "      <td>163.366</td>\n",
       "      <td>0:05:30</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   pos            breeder           pigeon          name color sex  ent  \\\n",
       "0    1      Texas Outlaws  19633-AU15-FOYS           NaN  BCWF   H    1   \n",
       "1    2     Junior Juanich    0402-AU15-JRL           NaN  SIWF   H    1   \n",
       "2    3  Jerry Allensworth   0404-AU15-VITA  Perch Potato    BB   H    1   \n",
       "3    4        Alias-Alias   2013-AU15-ALIA           NaN  BBSP   H    1   \n",
       "4    5       Greg Glazier    5749-AU15-SLI           NaN    BC   H    1   \n",
       "\n",
       "   arrival    speed   to_win eligible  \n",
       "0  42:14.0  172.155  0:00:00      Yes  \n",
       "1  47:36.0  163.569  0:05:21      Yes  \n",
       "2  47:41.0  163.442  0:05:27      Yes  \n",
       "3  47:43.0  163.392  0:05:28      Yes  \n",
       "4  47:44.0  163.366  0:05:30      Yes  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pigeons.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kKsW1Vy0kkUxhMpuI6+FPERERGSIV5iLDyGI2090fpT8Sw2m3YfFojrmIiIgMjQpzkWEU\nSyQ41N5NntVKKByhrz+W7ZBEREQkR2iOucgw8nnceN0uXnh9C4c7e6mpLKG9q5ed+1pZt2Eb7+xr\nzXaIIiIiYlAaMRcZRl6Pi5JCL8s+2UAmk6G7N4QzL49//PHviMYTOPJs/PzOazlnTOXfvU8ikWTT\njv28smkHU8fXcMHkWtwux8DrsXiS/mgMj9OOzaZvYxERkZFAP9FFhlF5iZ+DbV3s3HsIk9lEvstJ\nNJEgGk8AEI0nOHC480ML8537D3PHXQ+RycBja97gh1+/mgun1gHQ0RPkwSfW89rmd1j80alcfP4E\niv1e/F73aW+fiIiInD4qzEWGWU1FMYFQmGA4QnlJAW6nHbPJRDqTwWwyUV7s/9B79ATDZDLvft3W\n2Tvw9y07D7JqXSMAf3j6FdxOO5t27Od/fWwOtaNKcdrzhr1NIiIicvqpMBcZZqVFPhZ+1EcylcJq\nsZBMpviP73yFfS0djK4qof5DRssBRlcUU15cwOHOAG6nnYm1VQOvJVOpQeemUmne2LqbSeOqONTR\ny+KPThn2NomIiMjpZ8pk3jsud3aLRqNEo1GMmBKz2Uw6nc52GMdlMpnIy8sjHo8rd39HJpPBZDIN\nOvZBuctkMuw/1E5rZy9FBR7qRlcOXLvvUDs//u2TbGzay6xpdZT4vTz517f46qcb2LLzIDd9/lLG\nVJUNW9xGyd/7mUwmLBYLqVTKkP0OjJ07I3/PgnFzB8bve0bPnZH7ntFz5/P5sh2GnGYqzN+no6OD\nRCKR7TCO4XQ6iUQi2Q7juGw2GyUlJcrdSTjZ3AX7InQH+ti2u4XVr23lI1NqWf3qFuaeN4Hp59Qw\nY8LoYYvRqPmz2Wy43W7C4bAh+x0YO3dG/p4F4+YOjN/3jJ47I/e9XMidjGyayiKSg7weJ16PkzFV\nJYytLmFT034uvWga4UiMWNx4P+xERETkw2kdc5Ecl05lcDntRGMJPG4H6Qy8s/9wtsMSERGRE6TC\nXCTHOew23A47BfkubBYL0XiclvbeD79QREREDEWFuUiOGzeqjEKfmzybFZvFwtvN+4knEvT1R7Md\nmoiIiJwAFeYiI4DH5cBiMdMdDFOQ78Jhz6OlrTvbYYmIiMgJ0MOfIiNAZYmf1s4AXo8Ti9lMS1sP\nNpuZ/kgcl1MbDomIiOQCjZiLjABupx1/vgu7zUoskSSZThGLJ2ne18oddz/KC282ETfg0mQiIiLy\nLhXmIiNEkS+feDJFJBbHl+/m9S27CfVHeXPbXn7w6yd4e+fBbIcoIiIif4cKc5ERorLER211CUUF\nHg539TJlXDXNe1oByGRgX2sXLe09WY5SREREPojmmIuMIGMrSwETRT4PLqed3z3xEgATxlRgMZvZ\ne6iTdCbNqLKi7AYqIiIix1BhLjKCuJx5TB5XBUAyleLW/3UZu1o6iMWTpNJp+qNx3tiyh2Qqw9jK\n4ixHKyIiIu+lwlxkhLJaLJQXFxCJJTjcFSCTyZDJZDjQ1k0klsDtyKO00JvtMEVERORvNMdcZAQb\nVV5EVamfgr8to/jU+rcZXVFMXyTG9j2tJJLJbIcoIiIif6PCXGSEGzeqlGnjR1GQ7+IjU2pp3HEA\nn8dF875WDncEsx2eiIiI/I2msoicBSpKfETjCZLJFFarGRMmkqkMPaEwoyoKsx2eiIiIoBFzkbPG\nqPJC/F4XVrOFZCpN/egyekLhbIclIiIif6PCXOQsYbVY8DjteN0ObFYL+1q7sFqtHNLa5iIiIoag\nwlzkLOJ22rHZrOTZLFSV+ukN9rFzfxvxhB4CFRERyTYV5iJnkfLiAqxmE4lkmlA4itNu51BngNbO\n3myHJiIictZTYS5yFsmz2airKaPUn4/JBFt2tWC1mAlHYtkOTURE5KynwlzkLFNWVIDLacPtsDOq\nzI/TnkdvqJ/WDo2ai4iIZJMKc5GzkNthJ5FKEU+kCIYjpNIZ9rZ2kU5nsh2aiIjIWUuFuchZqLqs\nEK/bSZ7NgttpZ2PzfhLJFFt2tRxzbiajYl1ERORM0AZDImchj8tBTXkhmQy0dQeoKSsiGkvwwo4m\ninxuqkr8ABzuCvBS41sE+6M0zDyHMZXFWY5cRERk5FJhLnKWqi4rpLMnRCYD8WQSR8ZGa3sv4f4j\nD4LGEykeeOJl/vJmMwBrNzTzg//9SapK/dkMW0REZMTSVBaRs5TNamHGhNFMqq0kz2rhze17+ei0\ncbgceQBE43Ga97UNnN/SEeBwV1Dz0EVERE4TFeYiZzGb1cLYymLGjSpj/nn1TB5XRXVZIQAep4NP\nzJ82cG7D+fUEwxHeatpPd6AvWyGLiIiMWJrKInKWy3c7mFpXdcxxs9nE5HFVfP3qhfSE+onGEtjz\nbGzZ1UJrV4Ca8kKmj6/OQsQiIiIjk0bMReQD1ZT58XtdeN0OKooLWLdxJ758F4FQhJ/8/jl27m/7\n8JuIiIjIkKgwF5EP5LTnMX/mRCaMKSeeTFI/upyXNu3CZrWQSKY40NbDtj2t2Q5TRERkRMiZqSzJ\nZJIHHniAVCpFOp1m0qRJXHzxxUQiEVasWEEgEMDn87F06VIcDgcA69atY+PGjZjNZi677DLq6uqy\n3AqR3GO1WjinpgyXI489LZ1MP6eaP724kWsuvYBgf5TDO4KYTSYmjCnPdqgiIiI5LWcKc6vVyrJl\ny8jLyyOdTvOb3/yGuro6tm/fTm1tLXPmzGH9+vWsW7eOxYsX097eztatW/na175GMBjkwQcf5Oab\nb8ZkMmW7KSI5qbrUT1GBG6c9D4/TTrAvQmcgTIkvn/2Hu6kfXabvLxERkVOQU1NZ8vKOLOOWTCZJ\np9OYTCaampqYMWMGANOnT6epqQmA5uZmpkyZgsViwe/3U1RUREvLsbsaisjQOe15TKqtoLaq+G+b\nFBXRvL+NaCxBb18k2+GJiIjktJwZMQdIp9Pcf//9dHd385GPfISqqirC4TAejweA/Px8wuEwAKFQ\niOrqd1eMyM/PJxgMZiVukZHE5cjDX+DCH3RxqCNAbVUxTkcegb4I/nxXtsMTERHJWTlVmJvNZpYv\nX040GuWRRx6hvb39mHOG+qv0YDBIX9/gtZg9Hg9WqzFTYrFYsNls2Q7juI7mTLk7cUbPHRw/f36P\nB0deAJ/HRTyZIpPJ0BvqJ1nix+m0n5G4rFYrJpMp53JnBLna74zC6H3P6Ll7759Gkwu5k5EtJ/+V\nHQ4HY8aM4Z133sHj8dDX14fH4yEUCuF2u4FjR8iDwSBer3fg6w0bNrB27dpB950/fz4NDQ1nphEj\nkN+vrdpPVq7lrrCwkOZ9rVgsZvJMEEuk6OwJs3HHAcZUlTBtwrgzNt/c6XSekfcZiXKt3xmN+t7J\nU98TOb6cKczD4TAWiwWHw0EikWDXrl3MmTOH+vp6GhsbmTNnDps2baK+vh6A+vp6Vq5cyaxZswiF\nQnR3d1NV9e4mKjNnzhw49yiPx0NPTw/JZPKMtm0o7HY7sVgs22Ecl9Vqxe/3K3cnwei5gw/OX1mR\nl+5AP92hCPFEkvLiArbuOcTug5309UWoqynFbD59j7FYrVYcDgfRaDTncpdtudzvjMDofc/ouTNy\n38uF3MnIljOFeV9fH4899hiZTIZMJsOUKVM455xzqK6uZsWKFWzcuJGCggKWLl0KQGlpKZMnT+be\ne+/FYrGwZMmSQSN4Xq930Aj6UR0dHSQSiTPWrqGyWq2GjOu9ksmkIWNU7k7NB+WvutRPMBwhlkgR\nTybZd7ibEp+H5v1tJNMpbFYz1WWn94dIJpPJydwZhXJ38ozc94yeOzBu38uF3MnIljOFeVlZGcuX\nLz/muMvlYtmyZce9Zu7cucydO/d0hyZy1po0thKX08G23a0U+9ysa3yHhpnn0NIeYNfBTqpKfVpC\nUUREZIhyarlEETGeMeWFzJwwisJ8N7OmjGXD9gMUeBxE4gl2HGinP2LMXwuLiIgYTc6MmIuIcZUV\negmGY9isFtKZDCaTiW17WukJhTnUEaC61EdddYlGz0VERP4OFeYiMiyKCly8uGEHb2zbT0+on6/9\nwzweW9tI/ehy9h3u4VBnkFFlPkr9+XjO0JKKIiIiuUSFuYgMi0Kvm09dPJ1z60cRTyRZ/UYziy6Y\nwF/e3EFliQ+rxcyug52EwlE+s+g8OgNhzCYYW1mEy5GX7fBFRESyTnPMRWTYFPs8nD+xhlGlfi6a\nWsuB9h4umlbL69v3YbGY6e2L8EbTATbuOMit9zzOP/78cf780lYSyVS2QxcREck6FeYiMuxGlftp\nmDmehRdMwGa18A8NM3jmle3UVRfT0dtHqD86cO7KF99mV0sn6XQmixGLiIhkn6ayiMhpYbGYqa8p\npbwwn5bOAIVeN4+u2cgXL7uAjkB44LzR5YXsbe3GarFQV12cxYhFRESyS4W5iJxWBR4nBR4ndVXF\nfGRSDTablY3NBzBlwGKxMK66iGdfbaLQ6852qCIiIlmlwlxEzog8m5U825GPnCm1FZhNJtp6+mjc\n0UJZoRerxcS+1m7KCvNx2G1ZjlZEROTM0xxzETnjCjxOvG4HNquF2qpiptdV0B2IcLAzwMq1m4nE\ntCW2iIicfVSYi0hWVJf6KMx3YbOayWTgQHsvvcF+/vvpN2ne366VWkRE5KyjwlxEsqLA46S6tADb\n35ZRjKeSdAX7sVnM9PXH2LanLdshioiInFEqzEUka0aV+Zk1ZQwTxpTiz3fx6pb9XPeJWfSEIhzq\nDGQ7PBERkTNKD3+KSFb5813YLBaSyTRuex4Wi5kVL7zNV5ZcQGtngIrigmyHKCIickZoxFxEss7j\nslPs85CXZ6Ur0M/HZ0+iP5qgvSf84ReLiIiMECrMRcQQasp8FHpdeFx2kskUsUSSPa3d7G/ryXZo\nIiIiZ4QKcxExBJPJRHGBC5/HjtORRzSWIJOBQ51BdhzoyHZ4IiIip50KcxExjNHlhfg8TsKRGBnA\nZjPTHexnz6HubIcmIiIj3AUXXJDtEFSYi4ixjKnwU1FcgN1mJRpLsa5xN/kuu9Y1FxGR08pkMmU7\nBK3KIiLGUuBxUeZ3YzWbONAe4KJpY8mzWth5oJNJY8uyHZ6IiGTRa6+9xi233ILb7WbevHk88cQT\nnH/++WzZsoVPfepT3HrrrXR1dXHdddcRCoWoqKjgwQcfxGQycfPNN7N161YsFgu/+93vqKys5Ec/\n+hFPPvkkU6ZMIZ1OZ7t5GjEXEePxOO0EwlFSmTTpdJr23j4Otvey6Z1DxBKJbIcnIiJZsmrVKv71\nX/+VNWvW8M///M/09PRw2223sX79ev785z/T2dnJj370I2655RZWr17N1KlTWblyJatWraKwsJA1\na9bw/e9/nx/+8Ie0t7fz7LPP8tJLL/GNb3yDnp7sLzagEXMRMZzKkgKC/TEyrd309cdIpTNYzWa2\n7WkjnkgdmX9utTCjvoY8S/Z/9SgiImfG//k//4fvfe97PPTQQ1xzzTXk5+dTV1cHwLRp09i9ezfb\ntm3j9ddfx2KxEIlE+OIXv0g4HGblypX89a9/JZPJMGrUKPbs2cO0adMAmDBhAh6PJ5tNA1SYi4hB\n1deUkM5k2NvaTTyZZk9rN/FkCkwmQuEYK/+6lZuXzuYTcyYPum5Paw+rXmnG5bCy6Lw6asp9WWqB\niIgMN6/Xyz333EMikWDmzJmEw2F27dpFbW0tmzdvZuzYsUycOJFPfepTzJ49G4BkMsnTTz/NZz/7\nWe68804AUqkUnZ2dbN68GYDm5mb6+vqy1q6jNJVFRAzJZDJRP6qEquICovEEmEyMrShk2542QpEY\nAGvefIdk6t2HQruD/fzr79aw6tVmVry4lf9a9QbvtHRxuDuUrWaIiMgw+s///E/mz59PQ0MDX/7y\nl/H7/fzHf/wHF110EUuWLKGkpITvfOc7/Pu//zsLFy5k0aJFvP3223z84x+ns7OTBQsWsGjRIh58\n8EHKyspYvHgxF110Eb/4xS/w+/3Zbh6mTCaTyXYQRtLR0UHCgHNYnU4nkUgk22Ecl81mo6SkRLk7\nCUbPHRgjf7sPdbPzQAe7WroZW1nIL/70Mql0huWfnMU/NEwjmUwCR9Y8v/bHjw1cV1GUz2UXjqdp\nbwdfuGSBrURMAAAgAElEQVQGtZWFZzRuI+TueNTvTo3NZsPtdhMOhw2ZP6Pnzsh9LxdyJ4NdcMEF\nvPHGG9kOY9hoKouIGF5tZeFAUX2wI8CtV8/D7czj3AmjBy1v5c938pmLp/Doi1swmWDRzHEcaAvQ\nG47y9u42Dnf3MaW2FK/Lka2miIjIMDLCEofDSYW5iOSU6pICqksKBo1aHuW02/j0vEmMH1XEoc4Q\n2/d3cG5dBX/ZuIeGGbWs2bCLaDzJuMpCRmvuuYhIznv99dezHcKwUmEuIiNKgcfJrEk1HOoMUFXs\nZfWGXXxuwVRS6TT72oOM6+6jM9BPTyjC5DGl2GyWbIcsIiICqDAXkRHIajFTU+Ynz2Ylz2qhvTdM\n4zuHSSbTmE0m0pkMazbuwWI1M1WbFomIiEGoMBeREau8MJ/ywnx2Heoilc4wqrSAYCTGgfYA51QX\n07Svk+J8JxXF3myHKiIiouUSRWTkG1dZRMO5Yzl3fAWZNIwt99PW00eBx8FbOw8TjsSzHaKIiIgK\ncxE5O+S77Iyt8DOzvhKfx0FdVSGQoa03TKvWORcRyQmvvvoqDQ0NNDQ0UF9fzze/+U0CgQDXXHMN\nixYt4sYbbzzmmuO9ft999w3cp6ysjCeffJK9e/fS0NDAggULmD59OlddddWZbp6msojI2cPjzGNM\nWQGh/hhdwX7ebG7lnOpCIrEkqVQai0VjFSIiJ2rM+ZcN2732vvnM33191qxZvPDCCwB85Stf4ZOf\n/CT/8i//wh133MH06dOPe83xXl++fDnLly8HYNq0aSxevBiHwzFw7+9+97vU1tYOR5NOiArz94hG\no9hsNqxW46XFbDbjdDqzHcZxmUwm+vv7lbuTYPTcgXHzZzKZSKVSJ5y7Krudg50hkuk046sL8Tjt\nBMIxtu/roLLUR1XJ8C2jaOTcqd+dvJPte2eK0XNn5L5n9NzJuxKJBK+//jq//e1v+ad/+if6+/t5\n5513uOWWW7jyyisHnbtx48YPfP3NN99k8uTJOByD97d44oknePHFF89EUwYx3ndFFjkcDkKhkHYj\nO0E2mw2fz6dd8E6C0XMHxs2fzWYjLy+PaDR6wrnzuvJo6+nDYbOSTKXYvr+Dc6qK+EvjXq6aN5Gq\nYXoY1Mi5U787eafS984Eo+fOyH3P6LmTd61evZqFCxcC8Nprr3HXXXdRX1/PvHnzuPzyy8nLyxs4\n9++9vmLFCj7zmc8Muvf27duprq4mPz//zDXob/R7WxE569RWFlJTWkAqnaG1q49Sn5tgf4y3drSy\n+1APu1u7sx2iiIj8HStWrGDp0qUA1NTUcN555+F2u6mvr6elpWXQuX/v9aeffporrrjiA+99pqkw\nF5Gz0jnVRUwYVURlcT7pdIYNO1uZeU4lh7pCvLqthf3tAeKJVLbDFBGR90kmk7zxxhvMmTMHgOnT\np7N7925SqRS7d++moqJi0Pkf9PqGDRuYMmUKdrt90PlPPPHEMdNhzhRNZRGRs5LFYmbC6JIjSybu\naGVSTQmt3X047TYC4RhN+zr507omZk+uZnptGfY8fVyKiBzPhz2wOdzeO40F4Ac/+AHXXXcd0WiU\n66+/HofDwbPPPks0GuXKK68c9PpXv/rVgfnkx5vG0tTUlLVpLACmTCaTyco7G1RHR4fmvZ0gm81G\nSUmJcncSjJ47MG7+bDYbbrd7WOaqtveGad7fSUtnH/vaein1u/F5HOw61MO6LQe485o5VBZ7qD7B\nuedGzp363ckbzr53Ohg9d0bue7mQOxnZNAQkIme9Up8bMmAymzCZwW230R2KsrOlm0Qyza5D3ew5\n3MtHJ1VRU1oAwO7WXhp3tVFS4GLq2BJ8niMjMJlMhkg8icOmj1cRETkx+skhIgKU+t1YLWbynXn0\nx5K8vaeDAx0hLv/IOHa2dFNT6uNAe5Ca0gIOdfVx5wNrCfYf2TH0hiUz+MRHx9MXifPchr2sadzH\nBedU8Om59XidWklBRESGRoW5iMjfFHqdFHqPrGFcXOBiWm0JO1t6OG98BQ+v2cqFE488aBTqjw0U\n5QCbdrfziY+Op/lgN795djMAe9uC1JTms2DG6DPfEBERyUlalUVE5DjGVxVy8bTRXHp+LZFogm9d\n/VHqKv0AFHtd1I8qBMBkgkXnjgGgPzp4zmxHIMLh7vAZjVtERHKXRsxFRD6Ax2Vn0ugSJo0e/MBV\nUYGTb312Fvvbg3iceYwrP7Jb6KhSLxNriti+v4vRpV48Dhs9fVHKC93ZCF9ERHKMCnMRkZNQ6nMf\neWj0PcaUFfD5BRM52BEiGk9iMZvoCUVo6QxRVZydpbdERCR3aCqLiMgwynfYyHfm4bbbSKUytPdG\n6A3H6I8Zb2k4EZFcFAwGufDCC/F6vWzbtg2Al156idmzZzNv3jy2bt0KQH9/P1dddRXz5s3jpz/9\n6TH3ue+++2hoaKChoYGysjKefPJJABYuXEhhYSFPPfXUwLn33HMPY8eOPWbd80ceeYSFCxeyYMEC\nXnvttVNum0bMRUSGUW2Fn2AkTncwSiKVxmI2EYsleWjNduZOrWbC3+ami4iMFOMXLBu2e+38y39/\n6Dlut5unnnqK2267beDYnXfeydNPP00gEGD58uWsWrWKX//61yxZsoSvfOUrXH755Xz+858ftCvo\n8uXLWb58OQDTpk1j8eLFADz00EPcf//9g97z6quv5mMf+xh33HHHwLHW1lYef/xx1qxZc0ptfi+N\nmIuIDCOz2YTbkYfLacPlsFGY76AzFCFjyvDLJxvZdziQ7RBFRHKaxWKhqKiIo3tkRqNRrFYrXq+X\nUaNG0dPTA8DLL7/MJZdcAsDixYt55ZVXjnu/N998k8mTJw/sCFpeXs77998sLi7GbB5cNj/zzDPY\n7XYWL17MsmXL6O/vP+W2qTAXERlmNaUeyv1ubBYTsWSa3r4Ym/d0Ek2k2Lq/i79s2k9LVyjbYYqI\njAg9PT14ve/uzGy1WkkkEoOOFxQU0N3dfdzrV6xYccwUlaFoa2ujq6uL559/nlmzZnHPPfecXAPe\nQ4W5iMgwc+blUVfpY3RZAV5XHtsPdHO4u59PzBpHT1+M3zy7hU27O2jpUHEuInKqfD4fgcC7v41M\nJpPYbDZ8Ph/BYBCAQCBAYeHxpxI+/fTTXHHFFSf1vg0NDcCReelH57ufChXmIiKngceZx3n11Zw/\nvpxPzR7PFxdNpLW7j75InEA4zv6OPl7efoidLT3HrH8uIiJD53Q6SaVSBAIBDhw4MFCAX3TRRaxe\nvRqA1atXM2vWrGOu3bBhA1OmTMFutx/z2vuns2QymUHHZs+eTWNjIwCNjY3U1taeclv08KeIyGlk\nz7MwbWwJxV4HDzy3lVeaDmO3WZhRW8K6zQeJJdO47TYuqC+jWksqikgOGsoDm8NtyZIlbNq0iR07\ndnDDDTfw/e9/nyuuuAKz2cwvf/lLAK677jq+8IUv8Nvf/paPfexjVFZWAnDjjTfyq1/9Cjj+NJZr\nr72WtWvX8vjjj7N161Zuv/12HnnkEX7xi1/wzjvvcMkll/Dcc88xdepUqquraWhowOFw8NBDD51y\nu0yZ9/934CzX0dFBImG80Su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37lzOPffcU2rDCW0wdMkllzBu3DheeeUV9u/fz/nnn8+C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\n9O7Y0L+ho3dDR+8mBsM59KjMCSiVSumRRx5RV1eXysvLdfHFFysQCBx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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fe74910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (281030353)>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='speed', y='pos', color='speed')) + \\\n",
    "    geom_point() + \\\n",
    "    scale_color_gradient()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dJBLOdkQiIiKSKzTHXKQf5RcbBAthyVNJDu7NMHiYjaZ9aba+k+KVZxJsW5fKdogiIiJi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\n7nu5kDsZ2DSVRUTkNCkbU0z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7drBo0SJefvllfv7zn7Nnzx7+5V/+BYB77rmH\nsrIyLrjgArKyssjIyOCXv/xll57LsPSGhDaxWIxYLObIl0a4XC7S6bTdMTpkGAZer5d4PK7adZHT\nawfOrZ9hGJimSSqVUu26SOPu1Hx87FmWRUtNPY1b9tL81wqa395C9qKZpBujBBZ8BrfXS/bUsRiG\n0Sf5nF47J489p9euKx8ilP5JM+Yf4fP5iEQiJBLOWxfo9/uJRqN2x+iQx+MhNzeXpqYm1a6LnF47\ncG79PB4PXq+XWCym2nWRxt2p6XDsZfvIGD8CkinceVmkY3EMv5f43iMcefQlhv3wBnyTR/VJPqfX\nzsljz+m1k4FPH/4UERHpAe68IJgG6WgLVjyBO5RNS8V+UkfqaanYb3c8EekH1JiLiIj0kMwzy/BP\nG4sr4Ce2ZS/EUySqjuHyeWl8YxPJ2ojdEUXEwdSYi4iI9BDDdJE5qwzf1NH4p5ZiuKDg+9cQ33OI\no9/+FU0vb7A7oog4mBpzERGRHuYemkvz2k3U//eLNPzmFTImFJHYeZCmlzfQsrPK7ngi4lD68KeI\niEgP8xYPJf9bV5B77XnEth/g4D/fB4B/1kSi72wjHY7iHTMcMyfL5qQi4iSaMRcREekFniE5+KaN\nxVsyjCHfuZphy24Dn4f4pr0kDxwl/LvX7I4o0i+Fw2FmzZpFMBhky5YtAFx00UUsXLiQ+fPnt73s\n59FHH2X27Nmce+653HfffSfc54033mDKlCkUFha2Ox4MBlm4cCELFy5k8+bNAPzTP/0Ts2bNYuHC\nhR3eq6doxlxERKQX+c+YgBWN0/L+LpJH6vCOLSRVG6Hp+bfJWjILT9FQuyOKnJKfGv+nx+71Devk\nTW8gEGDVqlXceeedbcdWrFgBwJo1a3jssccA+Id/+AduuukmAObOncv111/PkCFD2r5n6tSprF+/\nnnnz5rW7/8SJE3n11VdP+Hl/9atfMXny5K4/VBdoxlxERKQXGaYL34yxeE8bjXfMCNItcZpe+Bu+\nMyaQPFxndzyRfsc0TfLz8zt8SdVTTz3F5ZdfDkBJSUnbca/Xi8vVvu3Nzs7G5/OdcI8dO3bw2c9+\nlttvv514PA60vuDppptu4nOf+xzvv/9+Tz5OO2rMRUREepkZDJB13jQypo/DMCAwfypmQYhk9VHS\n8aTd8UQGBMuyWL16Neeff36743/6058YO3YseXl5nbrPzp07ee211ygsLGT58uUA3Hfffbz11lss\nW7aMm2++ucezH6fGXEREpI8YpguXP4N0PIGR4SF54Biphia7Y4kMCGvXruXss8/GNM22Y+Xl5Sxf\nvpwHHnig0/cJhUIAXHLJJZSXl7c7VlZWhmEYHc7W9wQ15iIiIn3ElRPAXTwUMy9IOtKMmRfEao7Z\nHUuk3/pog/zRZSwAVVVV3HrrrTz++ONkZGR06h7Nzc2k02mgtdEfN24cAJFI68vBjhw5QiKRwDCM\nHn2O4/ThTxERkT5ieE2slgSYLsz8HCzDIt3QCAyzO5pIt3XmA5s9bcmSJZSXl7N9+3ZuueUWrrvu\nOtasWcP999/fds33vvc9jh49ytVXXw3Aww8/zPjx47ntttt46KGHqKioYOnSpVRWVrJo0SJ+8pOf\nAHDjjTeSnZ1NKBRq+yDptddeS21tLel0mv/8z//stedSYy4iItJHXNmZxN6pwAxlAxB9txLv+JE2\npxLpf1auXHnCsY9/KPPRRx/t8HsfeughoHX3lT//+c8nnN+w4cQ39D7zzDPdidllWsoiIiLSR8ys\nTAKLzyR5pJ54ZRU51y8iXddIqknLWUREM+YiIiJ9ysjw4p8zBaslTnLvEYygn+T+GsyJxXZHExGb\nacZcRESkD7nHDscAkgdqSDdHsRpjpI5oP3MRUWMuIiLSp9zZAVxDczDzczA8bkinsFoSpOob7Y4m\nIjZTYy4iItLHUsfCWOk0htvEiiVI1UdIVh21O5aI2EyNuYiISB/zThpFYtsB6pc/Q3zTHgzDRVof\nABUZ9PThTxERkT7mLS7Af/50/Aumkao+SjrcROpwHYl9h/GM0p7mIoOVGnMREREbuNwmx+7+H6zm\nFtzjC8m59YvEN+9RYy4yiKkxFxERsYFnzAjyvnc96aYomC4a/7AG37lTSDU0YeYE7I4nIjbQGnMR\nEREbuIfl4RoegkSK+Kbd+GZMgFSaxJ5DdkcTEZuoMRcREbGJt3QERmYGrmAAK57A8Jikw812xxIR\nm6gxFxERsYkrw4MZysaVmQEGpONJ0pFm0i1xu6OJiA3UmIuIiNjI8Gdg5mZheN24TBdWLKY9zUUG\nKTXmIiIiNnKXDgOz9UVD6UgzpCBZfRQrnrA7moj0MTXmIiIiNjIDfhL7DmM1xUjXNxF+9HmwILZh\nm93RRKSPqTEXERGxmf/cKbiGBMFlEPrW1ST3HiKxo9ruWCLSx9SYi4iI2CxjSineySW48rJIbN5D\norIKqzlGfN9hu6OJSB/qVy8YeuaZZ9i+fTuBQIDbb78dgGg0ylNPPUVDQwO5ublcdtll+Hw+ANau\nXct7772Hy+Vi8eLFjBs3zs74IiIin8goyMVTPIzk/iO4mn2YQ3JJVh7AqzeBigwa/WrGfNq0aVx7\n7bXtjr3xxhuMGTOGpUuXUlpaytq1awE4cuQImzdv5o477uCaa65h5cqVWJZlR2wREZGT8hYOBY+J\n4fPiHj2cdLiRlvUVJKpr7I4mIn2kXzXmJSUl+P3+dscqKiqYNm0aAFOnTqWiogKAbdu2MWXKFEzT\nJBQKkZ+fT1VVVZ9nFhER6QzDbeIZX4yR4SF9qJbE1r24C/JI7T1idzQR6SP9qjHvSFNTE1lZWQBk\nZ2fT1NQEQCQSIRgMtl2XnZ1NOBy2JaOIiEhneArzSdeGIZHElemj8TcvgcdNKtxodzQR6QP9ao15\nZxiG0anrwuEwjY3tf6HLysrC7XZmSUzTxOPx2B2jQ8drptp1ndNrB86tn9vtxjAM1a4bNO5OTW+O\nvXQ6jbt0BKkjdRgNPnK+fS3JvYchHsc3f0an7uH02n30307TH2onA1u//6+clZVFY2MjWVlZRCIR\nAoEAcOIMeTgcbjeDvmHDBtasWdPuXvPnz2fBggV9E3wACoVCdkfot1S77vv48jbpPI27U9NbYy82\nLI+Ge39LYtdBAl86B8+kUaSzMsgKBPBnZvbKz9nXNPZEOtbvGvOPf4CzrKyMjRs3MmfOHMrLyykr\nK2s7/r//+7/Mnj2bSCRCbW0tI0eObPu+mTNntl17XFZWFnV1dSSTyd5/kC7KyMigpaXF7hgdcrvd\nhEIh1a4bnF47cG793G43Pp+PWCym2nWRxt2p6e2xl/GZseTddzvp2gjxbfsx3CbpxhjHdu0nY1je\nyb/f4bVz8tjrD7WTga1fNeZPP/00e/bsIRqN8tOf/pQFCxYwZ84c/vCHP/Dee++Rk5PDZZddBkBB\nQQGnnXYay5cvxzRNlixZ0m6ZSzAYbDeDflxNTQ2JhPNeg+x2ux2Z66OSyaQjM6p2p8bJ9bMsS7U7\nBapd9/X62AtkwOE6XNl+iMUhniAZacaVl33Sb3V67cC5Y68/1E4Gtn7VmF966aUdHr/++us7PD53\n7lzmzp3bm5FERER6nOF2Y8XipI/UYWR4cQUDWOFGQHuaiwxk/X5XFhERkYHGlZtN7J2tWOFmUoeO\n0bzqr1jRuN2xRKSX9asZcxERkcHAnZ1J5pfOJbltP1YyScasyaTDTXbHEpFepsZcRETEidJpMF2k\naxqxoi24fF5SzTHMTJ/dyUSkl2gpi4iIiAMZXg+x1RuwGptp+esmLMsidaDG7lgi0os0Yy4iIuJA\nnnEjybr2cyR3VuE9rRTLY5Ju0HIWkYFMM+YiIiIO5Ar4sbCw4klSB49hRZqxHLj3t4j0HDXmIiIi\njmVgBAPgzwC3B2Jx0tqdRWTAUmMuIiLiUK5sP4bpwnC5sBqbSTdGSew8YHcsEeklasxFREQcyhwx\nBMPnJR1pgngCoi0kt+whdbjW7mgi0gvUmIuIiDiUuyCEOWoYrpws8JikjtRhNUVJHq6zO5qI9AI1\n5iIiIg7mPX0M7tHDIZ3G5XWTbm4hXduAldAHQUUGGjXmIiIiDmYYBomdVViNUdLNLcReexdSaRIV\ne+2OJiI9TI25iIiIw2WcNQnD7yN16BjZN19I+uAxEtv20bJxu93RRKQH6QVDIiIiDuedNBornsAI\nZZHcXU36cC3mmELif91Mcts+fOefiZmfY3dMETlFasxFRET6Ac+EUaRr6knWhnEFfKT3H8E1PJ/4\nG+W4Mn2QTmMOz8czZ5rdUUWkm9SYi4iI9AMufwbuGWUYbpPElj24/BmQSpEo34FnfDFN//EY+LxY\nv76bjLknNufppiiG28TI8NqQXkQ6Q2vMRURE+glPXhDPpNG4J43GyPITX70Bw+uBdLr1glic+N82\nY7V8+HZQy7KIr32PyMX/h8hXfkByx74O753aW02qci9Wc6wvHkVEOqAZcxERkX7EHJaHf1geqZp6\nvGdNxoo0U3f5d9rOu8eOxGqKtc2Mp/dU03jD3RCLw+adRD0esh7+vxhus+17kn97n+iXvw2NzXj/\nn3/Ce9MlGIHMPn82kcFOjbmIiEg/ZA7NxRyaS7IhQs4j3yLxt824y0owMn0YOYEPL0wkW5vyv7OO\n1kMqDX9vzK1Ekvi9v4TGZgDi9/4K85zpuM+c0qfPIyJayiIiItKvuXOy8UybgHfRWZjFBWR9diaG\n+eFsuGvUcPz33Nr6RVYm/v97E0aG58MbmC6M/NwPv/Z5sZqaSe0+gGVZffQUIgKaMRcREen3zCG5\nmENam2uP308yGm07Z/gy8F17Ad4FZ4LXjVk8vN33Gi4X7quXYLXEsY7U4rliMenDx7AaIliVe8Ht\nxjWmCNfokX36TCKDkRpzERGRAc7wZWCOLfrE864xRbgv/xxWXRgwINwI9WkS//sXjKJhWJV78f76\nh5hjivsutMggpKUsIiIig5w5agTmuBKMRArCjaS37sQ6XIuRn4PV1Iy1cx/Wlp2kK/faHVVkQNOM\nuYiIiGCWjcYYkou16wBWYyPWtj245s4k+e8PQygILoPUn9/EijRhzphsd1yRAUmNuYiIiADgys+F\n/FxcU8tIHTiE9erbuO+4GqNwKNbBGognSP1uJa6yUoyA3+64IgOOlrKIiIhIO4bXg3tMMa5ZUzGG\nD4Fj9aTXrIOGCEZOFuk9VXZHFBmQNGMuIiIiHTJPn4CRHyJdsROjJY5V24Axphhq6+2OJjIgacZc\nREREPpGrcChGpg9X2Whcp08ArwerroHktl12RxMZcNSYi4iIyKfLy4VECuoaoLEJWhKwcz9WOGJ3\nMpEBRY25iIiIfCpzwmiM4uGQl4sRyMTatQ/SadLvbrE7msiAosZcRERETm7kcBgaAo8bY/hQrIZG\naIiQbo7ZnUxkwFBjLiIiIidllhRi5IegJY51rB627sBym1jvbiK1a7/d8UQGBO3KIiIiIp1iFA7F\n2p+H4cuAYflYO/ZhhYK4tuwgPe9MXBPH2h1RpF8zLMuy7A7hFLFYjFgshhNL4nK5SKfTdsfokGEY\neL1e4vG4atdFTq8dOLd+hmFgmiapVEq16yKNu1Pj9LHXm7VLp9NE/7aR9LZdEGmG5masyj24JoyG\n3Bx8N16G2/3Jc35OH3tOH3e5ubl2x5Bephnzj/D5fEQiERKJhN1RTuD3+4lGo3bH6JDH4yE3N5em\npibVroucXjtwbv08Hg9er5dYLKbadZHG3alx+tjr7doZUyfisiys97aQ3n8QIztAesNmXOefQ+z9\nrZiTxn3i9zp97Dl93MnAp8ZcREREOs0wDIzpk0nlZuMaMRTr7Y24Zp6GlUhibNpGurQIl89nd0yR\nfkkf/hQREZEuM0uLMQryMcpKIZAJh49iHTqKdfiY3dFE+i015iIiItIt1uiRGENC0ByDZBJjSAij\ntsHuWCL9lpayiIiISLeY+SFSHjfk5WBkZmAYLmh25hptkf5AM+YiIiLSfRkZGJaFYbiw4nFojmJV\nHbY7lUi/pMZcREREus3I8ILH3TpTHo2BZWH95XW7Y4n0S2rMRUREpPuG5mFleLGyApAVwGpsgve2\nkt61z+5kIv2OGnMRERHpNteoQoyxozD8GRjxONYTz8DZM2BvlSNfIiTiZGrMRURE5JS4ppRhjRwO\niSSuz82DdBqO1cH+g3ZHE+lX1JiLiIjIqSsaBiOHg+mClgRWrEWNuUgXqTEXERGRU2aWFEF+LhgG\nxONw5BhWzTGs8i12RxPpN9SYi4iISI8w0ik4Vg+NTfBOOYbLBbv2YzWE7Y4m0i+oMRcREZEeYU2d\njHH6BGiI4Lp8CdbGTVheD7ynWXORztCbP0VERKRHuAKZpMvGYSSSsKcKigrh/a0wdbLd0UT6Bc2Y\ni4iISI9xlRZhFQ2H/Bw4VIORG4R0Gutond3RRBxPM+YiIiLSo4xAAPJCGMkUuFyQSsOe/TCiwO5o\nIo6mGXMRERHpWaXFYJrQ1AzNUWiJQ2MzqUTC7mQijqbGXERERHqU4XG3bp2YF2rd1zzaDPEE6a2V\ndkcTcTQtZREREZGeFwpCVgASCXCbEInAYTeJeNzuZCKOpRlzERER6XFG6SjIzW7d0/xoHca+arAs\n6t5aZ3c0EcfSjLmIiIj0CiOQCaEciMbA54WaOpJNUcxJ4+yOJuJImjEXERGR3jFlQusHQX0ZkLbg\nhVfgSA2plha7k4k4khpzERER6R1uN3g8UN8Ah2ugdBRsqYSGiN3JRBxJjbmIiIj0noIQlBTBX9dD\nXQMsOQ+O6WVDIh3RGnMRERHpPQUFkLEHbrkOEkk4eASSSZgwxuZgIs6jGXMRERHpPR5364uGtlbC\ntp2w8hUwDLtTiTiSGnMRERHpXYUFrTuzvP0ufOE8cLlg5x67U4k4jpayiIiISO8qLYEzGmHG6a3r\ny6sPQ2MjjB1tdzIRR9GMuYiIiPSuvJzW7RLLt8Dho/DIE5Dhg+277E4m4ihqzEVERKT3DQmB1wPr\ny+HW68CyYH81xLSnuchxA34pS2VlJS+++CKWZTFjxgzmzJljdyQREZHB5/SJrevMJ4yB2np474PW\npSxbKmHGFLvTiTjCgJ4xT6fTrFq1iuuuu4477riDDz74gJqaGrtjiYiIDD4uFwwNtb5c6MgxwAAr\nDeWb7E4m4hgDujGvqqoiPz+f3NxcTNNkypQpbNu2ze5YIiIig5K7bDyMLoJQEAryMbbugOxs2LnX\n7mjtuA4exPfcc/j+9CfM/fvtjiODyIBeyhKJRAgGg21fB4NBqqqqbEwkIiIyeBmGgVk4glRtPeyv\nwhpV2LrP+YFqGFtid7xWsRjZP/0pgSefbP3ys5+lbvlyrNxcm4PJYDCgG/NPEw6HaWxsbHcsKysL\nt9uZJTFNE4/HY3eMDh2vmWrXdU6vHTi3fm63G8MwVLtu0Lg7NU4fe06vXfb00zmybz/Ek+A2IRYD\nM+SIzKZp4m5qwveXv7Qdy3j9ddxNTTB0qI3JnP3/q/ScAf1fOTs7m4aGhravw+Fw2wz6hg0bWLNm\nTbvr58+fz4IFC/o040ASCoXsjtBvqXbd5/f77Y7Qb2ncnRqNve4LnTePercbKnbiygkSXHAufpsb\n3+N8paXELr+cwIMPAtBy0UVkl5Tgc0g+GdgGdGM+cuRIamtrqa+vJysri02bNnHppZcCMHPmTMrK\nytpdn5WVRV1dHclk0o64nyojI4OWFmduKeV2uwmFQqpdNzi9duDc+rndbnw+H7FYTLXrIo27U+P0\nsef02oVCIWKWhXn2GXD2GQA0Ao0O2JzheO2sW2+lZdYsSKVITp2KYRhEbM53vHYysA3oxtzlcnHB\nBRfwm9/8BsuymD59OkP//ifeYDDYbv35cTU1NSQSib6OelJut9uRuT4qmUw6MqNqd2qcXD/LslS7\nU6DadZ+Tx57TawetY8+Jf6hpq10oRHLhwg9POLyeMnAM6MYcYPz48YwfP97uGCIiIiIin2pAb5co\nIiIiItJfqDEXEREREXEANeYiIiIiIg6gxlxERERExAHUmIuIiIiIOIAacxERERERB1BjLiIiIiLi\nAGrMRUREREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIiIg6gxlxERERExAHUmIuIiIiIOIAacxER\nERERB1BjLiIiIiLiAGrMRUREREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIiIg6gxlxERERExAHU\nmIuIiIiIOIAacxERERERB1BjLiIiIiLiAGrMRUREREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIi\nIg6gxlxERERExAHUmIuIiIiIOIAacxERERERB1BjLiIiIiLiAGrMRUREREQcQI25iIiIiIgDGJZl\nWXaHcIpYLEYsFsOJJXG5XKTTabtjdMgwDLxeL/F4XLXrIqfXDpxbP8MwME2TVCql2nWRxt2pcfrY\nc3rtnDz2nF673Nxcu2NIL3PbHcBJfD4fkUiERCJhd5QT+P1+otGo3TE65PF4yM3NpampSbXrITx1\nuwAADeBJREFUIqfXDpxbP4/Hg9frJRaLqXZdpHF3apw+9pxeOyePPafXTgY+LWUREREREXEANeYi\nIiIiIg6gxlxERERExAHUmIuIiIiIOIAacxERERERB1BjLiIiIiLiAGrMRUREREQcQI25iIiIiIgD\nqDEXEREREXEANeYiIiIiIg6gxlxERERExAHUmIuIiIiIOIAacxERERERB1BjLiIiIiLiAGrMRURE\nREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIiIg6gxlxERERExAHUmIuIiIiIOIAacxERERERB1Bj\nLiIiIiLiAGrMRUREREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIiIg6gxlxERERExAHUmIuIiIiI\nOIAacxERERERB1BjLiIiIiLiAGrMRUREREQcwG13gM7YvHkzr732GkePHuUrX/kKhYWFbefWrl3L\ne++9h8vlYvHixYwbNw6A6upqVqxYQTKZZPz48Xz+85+3K76IiIiIyEn1ixnzYcOGceWVV1JSUtLu\neE1NDZs3b+aOO+7gmmuuYeXKlViWBcDKlSu58MIL+epXv8qxY8fYsWOHHdFFRERERDqlXzTmQ4YM\nIT8//4TjFRUVTJkyBdM0CYVC5OfnU1VVRSQSoaWlhZEjRwIwdepUKioq+jq2iIiIiEin9YvG/JNE\nIhGCwWDb19nZ2YTD4ROOB4NBwuGwHRFFRERERDrFMWvMH3vsMRobG084ft5551FWVtbjP184HD7h\n58vKysLtdkxJ2jFNE4/HY3eMDh2vmWrXdU6vHTi3fm63G8MwVLtu0Lg7NU4fe06v3Uf/7TT9oXYy\nsDnmv/KXv/zlLn/P8Rny48LhMMFg8BOPf9SGDRtYs2ZNu2MlJSVccsklhEKhLmcZzMLhMKtXr2bm\nzJmqXRepdt0XDod5++23Vbtu0Lg7NRp73aex130frd3HexoZOPr1UpaysjI2bdpEMpmkrq6O2tpa\nRo4cSXZ2NhkZGRw4cADLsigvLz9h1n3mzJncfPPNbf9cfPHF7N27t8NZe/l0jY2NrFmzRrXrBtWu\n+1S77lPtTo3q132qXfepdoODY2bMP83WrVt54YUXaG5u5sknn2T48OFce+21FBQUcNppp7F8+XJM\n02TJkiUYhgHAkiVL2m2XOH78+Hb3DAaD+hOniIiIiDhGv2jMJ02axKRJkzo8N3fuXObOnXvC8cLC\nQm6//fbejiYiIiIi0iP69VIWEREREZGBwvz+97//fbtDOIFlWXi9XkaPHk1GRobdcfoV1a77VLvu\nU+26T7U7Napf96l23afaDQ6GdfxVmYNQNBrlqaeeoqGhgdzcXC677DJ8Pt8J1z3zzDNs376dQCAw\nqJfHVFZW8uKLL2JZFjNmzGDOnDknXLNq1Sp27NiBx+PhoosuYsSIETYkdaaT1e/o0aOsWLGCgwcP\nct5553HOOefYlNR5Tla7999/nzfffBMAr9fLF77wBYYNG2ZHVMc5We0qKipYvXo1hmHgcrlYvHgx\no0aNsimts3Tm1zyAqqoq/ud//odLL72UyZMn93FKZzpZ7fbs2cNvf/vbtp1ZJk2axPz58+2I6kid\nGXu7d+/mpZdeIpVKEQgEuOGGG/o+qPQ8axB7+eWXrbVr11qWZVlr1661Xn755Q6v27Nnj1VdXW0t\nX768L+M5SiqVsn7+859bdXV1VjKZtP7rv/7LOnLkSLtrtm/fbj3++OOWZVnW/v37rUceecSOqI7U\nmfo1NjZaVVVV1iuvvGK9+eabNiV1ns7Ubt++fVY0GrUsq3Ucauy16kztWlpa2n586NAh64EHHujr\nmI7Umdodv+7Xv/619fjjj1ubN2+2IanzdKZ2u3fvtp544gmbEjpbZ+oXjUatBx980GpoaLAsq/X3\nDxkYBvUa84qKCqZNmwbA1KlTqaio6PC6kpIS/H5/X0ZznKqqKvLz88nNzcU0TaZMmcK2bdvaXVNR\nUcHUqVMBKCoqoqWlRds6/V1n6hcIBCgsLMTlGtT/W56gM7UrLi5u+9uuoqIiIpGIHVEdpzO183q9\nbT+Ox+NtO1sNdp2pHcA777zD5MmTCQQCNqR0ps7WTjrWmfp98MEHTJo0qW13OY2/gWNQdwBNTU1k\nZWUBrS8rampqsjmRc0UikXbbSwaDwXYvceromo+/6Gkw60z9pGNdrd27777LuHHj+iKa43W2dlu3\nbuXBBx/kySef5MILL+zLiI7VmdqFw2EqKio488wz+zqeo3V23O3fv5+HHnqIJ554giNHjvRlREfr\nTP2OHTtGNBrl17/+NY888gjl5eV9HVN6Sb/YLvFUPPbYYx3O2i5cuPCEY5opEunfdu/ezcaNG7nx\nxhvtjtKvHN+Sdu/evbz66qvdehPzYPTiiy9y/vnn2x2jXxoxYgRf//rX8Xq9VFZW8rvf/Y6vfvWr\ndsfqN9LpNAcPHuT6668nkUjw6KOPUlRURH5+vt3R5BQN+Mb8036DycrKorGxkaysLCKRiP4q6FNk\nZ2fT0NDQ9nU4HD7hBU0fnyHv6JrBqjP1k451tnaHDh3iueee49prrx30S8+O6+q4Kykpoa6ujubm\nZjIzM/siomN1pnbV1dU8/fTTADQ3N1NZWYnL5WLixIl9mtVpOlO7j+4qMn78eFauXKlx93edqV8w\nGCQzMxOPx4PH46GkpITDhw+rMR8ABvVSlrKyMjZu3AhAeXk5ZWVln3itNXg3rwFg5MiR1NbWUl9f\nTzKZZNOmTSfUq6ysrO2v0/bv34/P52tbKjTYdaZ+0rHO1K6+vp4//OEPXHzxxeTl5dmU1Hk6U7va\n2tq2H1dXV5NKpdQc0bnafe1rX2v7Z/LkySxZsmTQN+XQudp99G+yDxw4gGVZGnd/19nfb/ft20c6\nnSYej1NVVcWQIUNsSiw9aVBvl9jc3MxTTz1FOBwmJyeHyy67DL/fTyQS4dlnn+Waa64B4Omnn2bP\nnj1Eo1ECgQALFixg+vTpNqfvex/dvmn69OnMnTuX9evXA3DGGWcAsHLlSnbs2IHX6+XCCy+ksLDQ\nzsiOcrL6NTY28sgjj9DS0oJhGHi9Xu644w7tV8vJa/fss8+ydetWcnJyAHC5XNx88812RnaMk9Xu\njTfeoLy8HNM08Xg8LFq0iOLiYptTO0Nnfs07bsWKFUyYMEHbJf7dyWr3zjvvsG7dOkzTxO12s3jx\nYoqKimxO7RydGXtvvvkmGzduxDAMZs6cyaxZs+yMLD1kUDfmIiIiIiJOMaiXsoiIiIiIOIUacxER\nERERB1BjLiIiIiLiAGrMRUREREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIiIg6gxlxERERExAHU\nmIuIiIiIOIAacxERERERB1BjLiIiIiLiAGrMRUREREQcQI25iIiIiIgDqDEXEREREXEANeYiIiIi\nIg6gxlxERERExAHUmIuIiIiIOIAacxERERERB1BjLiIinVZaWsqrr75qdwwRkQFJjbmIiIiIiAOo\nMRcRERERcQA15iIi/ch//Md/UFRURDAYZNKkSaxevZp77rmHyy67jCuvvJJgMMgZZ5zB+++/3/Y9\nBw8e5NJLL6WgoICxY8fywAMPtJ2zLIsf//jHjBs3jqFDh3LllVdSX1/fdv43v/kNo0ePZujQofzw\nhz/s02cVERls1JiLiPQT27dvZ/ny5WzYsIFwOMxLL73E6NGjAXj22We54oorqKur46qrruKiiy4i\nlUphWRZf/OIXmT59OgcPHuSVV17h/vvv589//jMAy5Yt49lnn2Xt2rVUV1cTCoW4/fbbAdiyZQu3\n3347TzzxBNXV1Rw7doyqqiq7Hl9EZMBTYy4i0k+Ypkk8HmfTpk0kk0lGjRpFaWkpADNnzuTiiy/G\nNE2+8Y1v0NLSwttvv826des4evQo3/nOdzBNk9GjR3PTTTfxu9/9DoCHH36Yf//3f2fEiBF4PB7u\nvvtunn76adLpNH/84x/54he/yLnnnovH4+Hf/u3fMAzDzhKIiAxobrsDiIhI54wdO5af//znfP/7\n32fz5s0sXryY++67D4Di4uK26wzDYOTIkVRXVwNQVVVFXl4e0Lp0JZ1OM2/ePAD27t3LxRdfjMvl\najvv8Xg4fPgw1dXV7e6bmZlJfn5+nzyriMhgpBlzEZF+5Morr2Tt2rXs27cPgLvuuguA/fv3t11j\nWRYHDhygsLCQ4uJixowZQ21tLbW1tdTV1dHQ0MBzzz0HwKhRo3jhhRfanW9qamLEiBGMGDGi3X2b\nm5s5duxYHz6tiMjgosZcRKSf2L59O6tXryYej+P1evH7/ZimCcCGDRtYsWIFqVSKn/3sZ/h8PmbP\nns1ZZ51FdnY29957L7FYjFQqxebNm1m/fj0At9xyC9/+9rfbGv2amhqeffZZAC699FKef/553nrr\nLRKJBHfffTeWZdnz8CIig4AacxGRfqKlpYVvfetbDB06lMLCQmpqavjRj34EwIUXXsjvf/97QqEQ\nTzzxBH/6058wTROXy8Xzzz/Pxo0bKS0tpaCggK985SuEw2EA/vVf/5ULL7yQRYsWkZOTwznnnMM7\n77wDwOTJk1m+fDlXXXUVhYWF5OfnU1RUZNvzi4gMdIal6Q8RkX7tnnvuYefOnTz22GN2RxERkVOg\nGXMREREREQdQYy4iIiIi4gBayiIiIiIi4gCaMRcRERERcQA15iIiIiIiDqDGXERERETEAdSYi4iI\niIg4gBpzEREREREHUGMuIiIiIuIA/z9x9pjNwzRwygAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1100103d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (285220977)>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='speed', y='pos', color='speed')) + \\\n",
    "    geom_point() + \\\n",
    "    scale_color_gradient(low='blue', high='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RkQPOWKsfgHcrl8uUy2XSGBLHcYjjdO5WY4whk8lQrVYVuzfRvWq+sz3FzlpLHAc4xhLH\nBsf1e94bhVWa6pOV80o1WYGvzxnyRUvGg3ynJZOpG7RxpyV+uzLG4LouURSlct5BumOX5v9nIb2x\ng/TPvbTHLs1zL+2xa2lpGephyH6mFfOd5HI5CoUCQRAM9VB2U1dXR6lUGuph9Mn3fVpaWigWi4rd\nAPU7drvUqGzNJ+UuGT/ZaTRfTJLzUsXiwKDeb1rj5/s+mUyGcrmcynkH6Y5dmv+fhfTGDtI/99Ie\nuzTPvbTHToY/JeYiNchaiCyUKhCElqwPneWkj/pupS4iIiJSE9THXGQYiC0YLLG1YLo2ORIREZGa\nom/fIjUutt0r6El7RsegjYxERERqkBJzkRoXx8mOo13L5mR8o3IWERGRGqTEXGQYiONkcyPH7Piz\nyllERERqi751iwwDUdxd0mKIY4vrKDEXERGpNfrWLTJMxDE9D386xmAc8D0Y2WzIZYZ6dCIiIvJW\nlJiLDBNxnJSyGANRnLRQdBzIZR1amx0yaoErIiKSakrMRYaJ2EI1TMpaXBeCEDJdOxUYY/DcJHEX\nERGRdNIGQyLDSBiCsV1lLRE0NSSZeDWwgMHzLGGYJPEiIiKSLkrMRYaZIAKi5M/bCxbfiwCDtRZj\nIJeBStDVYlFERERSQ6UsIsNYECar6NZaDEn9ueclybmqWkRERNJFibnIMGYthFFS2oKB+pwhjJIE\nPaNOLSIiIqmixFxkmIvipHQljqFSTbq1WJs8GOpq2VxERCQ1VGMuchCwNilrAajs9OCncYFwSIYk\nIiIiu9CKuchBIoq7Slq6BKF2BxUREUkTfVsWOYjENvllSB4Cxaq3uYiISFooMRc5iMQx2BgsSbcW\nxwFfBW0iIiKpoMRc5CAS26TeHJsk5dYmK+daNRcRERl6SsxFDjLVcMfmQhmfniRdREREhpZ+iC1y\nELI2KWkJAWzS19wkfxQREZEhonUykYNQ94ZDpuuXas1FRESGnhJzkYNQ2P0QqE1WyTMeGAdcd/dz\nrdU6uoiIyIGgxFzkIFWNklpzY7p+BxpyvevNXQc8U6apvu+kXURERAaPfngtcpCKuzcccpKk3Jgk\n+XYMdO9D1NQA9bmkZUsua3mjvfcmRSIiIjJ4tGIuchALwqRLiwWyPlSqOxJvY5ISl26em/wSERGR\n/UOJuchBLgghCKBU7UrMu0rKrYViaUeNeanStWOomyTtIiIiMrhUyiIiBBEQ7f56OYC4AK5jk2Tc\nQDaTrKpHUbLaLiIiIoNDK+YiskdRlKygRzGEUVLugk1q0VuawdNXEBERkUGjb6si8qYsGYKwq3tL\nBNksyaZEgOep7lxERGSw1EwpSxiG3HLLLURRRBzHHHfccbzvfe+jVCqxZMkS2tvbaWlpYd68eeRy\nOQBWrFjBqlWrcByHM888k/Hjxw/xXYjUHtd1qXbVnvsemCrU10FHZ9JaMdv1z/uwj1IYERER6b+a\nScw9z+P8888nk8kQxzH/+Z//yfjx4/n973/PMcccw7Rp01i5ciUrVqxgzpw5bNq0iXXr1vGFL3yB\nfD7PokWLuPTSSzF6ak1kr8Rx8nCo9SHuTNoqum7yuucpMRcREdlXNVXKkslkgGT1PI5jjDGsX7+e\nE088EYDJkyezfv16ADZs2MCkSZNwXZfW1lZGjRrFxo0bh2zsIsNFNUg6uXQ/AOp76tIiIiIyGGpm\nxRwgjmNuuukmtm7dynve8x6OOOIIisUijY2NADQ1NVEsFgEoFAqMGzeu571NTU3k8/khGbfIcBNG\nyYq57+xI0o1JWiyKiIjI3qmpxNxxHBYsWEC5XOa2225j06ZNu53T31KVfD5PR0dHr9caGxvxvHSG\nxHVdfN8f6mH0qTtmit3ApT120Hf8wjDAdnVrMSZ5ENR1ko8978DE2vM8jDE1F7s0qNV5lxZpn3tp\nj93Ov6dNLcROhrea/FvO5XIcddRR/OEPf6CxsZGOjg4aGxspFAo0NDQAu6+Q5/N5mpubez5++umn\nefTRR3tdd+bMmbS1tR2YmxiGWltbh3oINavWYhdFEVvf+DM9C+Rmx8ZDrgutraMP2PMcdXV1B+Tz\nDEe1Nu/SRnNv72nuifStZhLzYrGI67rkcjmCIOD5559n2rRpTJgwgdWrVzNt2jTWrFnDhAkTAJgw\nYQJLly5lypQpFAoFtm7dyhFHHNFzvZNPPrnn3G6NjY1s27aNMEzfrinZbJZKpTLUw+iT53m0trYq\ndnsh7bGDPccvjpNk3DFgnKTePOdDbAM2b3odi4vj7L/HWDzPI5fLUS6Xay52Q62W510apH3upT12\naZ57tRA7Gd5qJjHv6OjgZz/7GdZarLVMmjSJd77znYwbN44lS5awatUqRowYwbx58wA45JBDmDhx\nIjfccAOu6zJ37txeK3jNzc29VtC7bd68mSAIDth99Zfneakc187CMEzlGBW7ffNm8QvCHQ9/ug7E\nJB9joFyJCIL926rFWluzsUsDxW7vpXnupT12kN65Vwuxk+GtZhLzsWPHsmDBgt1er6+v5/zzz+/z\nPdOnT2f69On7e2giB60wSh74zHhgXchloFRJyll8D6LqUI9QRESkdtRUu0QRSZ8ohnKQlLKUq5D1\nwcY76s1FRESkf2pmxVxE0staqIbQ08vAQsZPdgaNIgii5HcRERHZMyXmIjIo4jgpacllkwdC2zug\nIQeBk5S1BCGEYbLCrnbnIiIiu1NiLiKDptgJlWpSxlKXhVI1+b07Gfc9wIFicUeZS5C+xgwiIiJD\nQom5iAyamKSkxXWSevOMn/zeWJesljsuZDMQBtDa1RSpvQOKpSEdtoiISCro4U8RGXRRnCTkneWk\nxKVYgrpcsjruOkntebfG+qQfuoiIyMFOK+Yist+EUZKkey6EcZKEF4q9E/MgAN/dcb6IiMjBSom5\niOxX1iYr5UGY1J9bm5SzFEs7urnU5yAqWYjMW19QRERkmFJiLiIHjO1qx1KpJh+4riGXSVbVseA4\nljgGUIIuIiIHH9WYi8iQ6E7GqwFUq0l5i+8lD4qqoaKIiByMlJiLyJAIIwhjmyyjG4vnJf3Pmxq6\n2ioqORcRkYOMEnMRGSKGMEzSb8ckxSvd3Vkck2xWJCIicjBRYi4iQya2hnI1eQA07nootL0jaano\nqoWiiIgcZLQmJSJDylpDECZlK8mDn0lbxXwRDBarB0FFROQgoRVzEUkBQxQm5eaOk7RSNICnpQMR\nETmIKDEXkVSISTq1WJsk5cYkNeeuo4dARUTk4KDEXERSwhDFSXIekyTmhqTW3HOVnIuIyPCnxFxE\nUiOODVGUfGEyXaXlrtPdPlFERGT/efe73z3UQ1BiLiLpkvQ37yppMVCXTTq2qK+5iIjsT8YMfbMB\nrUOJSMoYwsiCTWrMy9UkMXddiKKhHpuIiAylxx9/nMsuu4yGhgZmzJjBXXfdxSmnnML//d//8dGP\nfpQrrriCN954gwsvvJBCocBhhx3GokWLMMZw6aWXsm7dOlzX5cc//jGHH3443/rWt7j77ruZNGkS\ncXdrsCGkFXMRSR0bJ91ZunkOZFzwPYtWzkVEDl733HMP//iP/8jy5cv52te+xrZt21i4cCErV67k\n5z//OVu2bOFb3/oWl112GQ8++CDHH388S5cu5Z577mHkyJEsX76cb3zjG/zrv/4rmzZt4r777uNX\nv/oVl19+Odu2bRvq29OKuYikT9zV29z3kl1AAejaDTT5SaPFmIAgqA7hKEVE5ED727/9W77+9a+z\nePFi5s+fT1NTE+PHjwfghBNO4IUXXuCZZ57hiSeewHVdSqUSn/rUpygWiyxdupRf/vKXWGt529ve\nxosvvsgJJ5wAwLHHHktjY+NQ3hqgxFxEUirsKlvxu5Jxz0u6tGCSB0Ib6y35jhLW9t4i1HMt9XUW\nG0Nn2RDFQ18zKCIig6O5uZnrr7+eIAg4+eSTKRaLPP/88xxzzDGsXbuWo48+mne961189KMfZerU\nqQCEYci9997Lxz/+ca6++moAoihiy5YtrF27FoANGzbQ0dExZPfVTaUsIpJSJnkQNNzRoSUIIePv\nKHPJZmOs3VET6BjLyGZLYx00NUBzo8V1Yhyj8hcRkeHgRz/6ETNnzqStrY3PfOYztLa28u///u+c\ndtppzJ07lzFjxvDVr36Vf/u3f2P27Nmcfvrp/O53v+ODH/wgW7ZsYdasWZx++uksWrSIsWPHMmfO\nHE477TS+//3v09raOtS3h7HW6jvWTjZv3kwQBEM9jN3U1dVRKpWGehh98n2fMWPGKHZ7Ie2xg3TE\nz3UtGTdZNQ8jaGlKkvVC0aFUdQnDMDnPsRwy0vYk8mEExc4kmS90GsLowK6epyF2fdG82ze+79PQ\n0ECxWExl/NIeuzTPvVqInfT27ne/myeffHKohzFoVMoiIqkXRYZSBFSTVfFtBcAaXC+HMeGO82Lo\n6ExWy61NSlk8z+K6XSvtxlINLfphoYjI8JCGFoeDSd+dRKSmxNZQrhgi6+NnsrscNXR0whvthnzR\n4LuWMDQ9GxQ11FtyWYPjDH1LLBER2XdPPPHEUA9hUGnFXESGFYtDpWoJHUsYQX3W0tEJWIvvQuBa\nXAeCMKYaGLoeKRURERlySsxFZBhKurHYwFK0SR/0bNaCsYDBkOwoaq0lCJWYi4hIOigxF5FhK7aG\nagCxG4OBIEySct9PEvKMD1Fkia2ScxERGXqqMReRYS+MHEplqFTBYgkig+NAHEMmE6PdREVEJA2U\nmIvIQcHiEISGatUQxUlPdLD4rsF1lJiLiNSC3/zmN7S1tdHW1saECRP48pe/THt7O/Pnz+f000/n\n4osv3u09fR2/8cYbe64zduxY7r77bl566SXa2tqYNWsWkydP5pxzzjnQt6dSFhE5mBiCMMZxTE8L\nxSBINiyK4qT+XEREBihoH7xr+SPe9PCUKVN4+OGHAfjsZz/LRz7yEf7f//t/XHXVVUyePLnP9/R1\nfMGCBSxYsACAE044gTlz5pDL5Xqu/U//9E8cc8wxg3FHA6LEfCflchnf9/G89IXFcRzq6uqGehh9\nMsbQ2dmp2O2FtMcO0hs/YwxRFA04dnEcE0adgAGb9D43BnwPLAbfzw3aGNMcO827vbe3c+9ASXvs\n0jz30h472SEIAp544gluvvlm/v7v/57Ozk7+8Ic/cNlll/HhD3+417mrVq3a4/GnnnqKiRMnksv1\n/tp/11138cgjjxyIW+klff9XDKFcLkehUNBuZAPk+z4tLS3aBW8vpD12kN74+b5PJpOhXC4POHau\nY8BNEnFjIOtBEFoymZCOYgexdQdljGmOnebd3tuXuXcgpD12aZ57aY+d7PDggw8ye/ZsAB5//HGu\nueYaJkyYwIwZMzjrrLPIZDI9577Z8SVLlnDuuef2uvbvf/97xo0bR1NT04G7oS6qMReRg04UO0RR\n8mfP61o1dyw5H3xPNeciImm3ZMkS5s2bB8Db3/52TjrpJBoaGpgwYQIbN27sde6bHb/33ns5++yz\n93jtA02JuYgclIIwaaUYRoCBugxUAoPnWXJZi2PUrUVEJI3CMOTJJ59k2rRpAEyePJkXXniBKIp4\n4YUXOOyww3qdv6fjTz/9NJMmTSKb7b2L9F133bVbOcyBolIWETlIGcLIEMcx2QxUA4PrADYpb8n4\nkM1ElCsOlQC0jiEisgdv8cDmYNu5jAXgm9/8JhdeeCHlcpnPf/7z5HI57rvvPsrlMh/+8Id7Hf/c\n5z7XU0/eVxnL+vXrh6yMBcBYa7UktJPNmzer7m2AfN9nzJgxit1eSHvsIL3x832fhoaGQalVNSYm\n64Prgu9ZosgQx8lGRHVZy9Z2hyCE2A4sOU9z7DTv9t5gzr39Ie2xS/Pcq4XYyfCmFXMROehZ61Cp\nRmR80/UxOI7F92xPxxbPs1SqljBKzvFcS9aPiWJDJTDYnt1DtdYhIiJ7R4m5iAhgcakGNkmwjaXe\nTxLyYsnge5YwAtdNEnPXiRnVEielL1i2FwydZReDpb4upj4Xd5XAVIf6tkREpIYoMRcR6WIxVEOA\npPa8GiRJeSUwNNbHlPNJKYvjdNWjd8lmoLOclL6MaIwB8L2YIF8FBqf1ooiIDH96mklEpA9h5NBZ\nThJug2Vem5l7AAAgAElEQVR7IakzB4giqHaVx1oLneWkjMXZZf+PJHmPD9iYRUSktmnFXERkj5Jk\nvDsh7xZbw9a8i+cmpS/dx4MIKlVDNmMJwiRp99ykDEZEROStKDEXEdkLcWyoxr2XyKPIoVC0lCoG\nQ9dDpAZcJyaK9QNKERF5c/pOISIyiKI4abXY3YjW87pLXNStRURkMOTzeU499VSam5t55plnAPjV\nr37F1KlTmTFjBuvWrQOgs7OTc845hxkzZvDd7353t+vceOONtLW10dbWxtixY7n77rsBmD17NiNH\njmTZsmU9515//fUcffTRu/U9v+2225g9ezazZs3i8ccf3+d7U2IuIjKIotgQxckmRa4DBsBYGusi\nfE/15iIyDAVbBu9XPzQ0NLBs2TL+6q/+que1q6++mnvvvZfFixdz5ZVXAvAf//EfzJ07l1/+8pcs\nX76c119/vdd1FixYwMMPP8zDDz/M2LFjmTNnDgCLFy/mi1/8Yq9zzzvvPB566KFer73++uvceeed\nLF++nIceeohTTz11wKHblRJzEZFBZbAW4q5fUWxxXYvjGEY0RriOknMRkX3hui6jRo2ie4/McrmM\n53k0Nzfztre9jW3btgHw2GOPccYZZwAwZ84cfv3rX/d5vaeeeoqJEyf27Ah66KGHsuv+m6NHj8Zx\neqfNv/jFL8hms8yZM4fzzz+fzs7Ofb43JeYiIoMsjCCMbFeNucE1kM3EOAYyfkwuE+E4eiJURGQw\nbNu2jebm5p6PPc8jCIJer48YMYKtW7f2+f4lS5bsVqLSH3/+85954403eOCBB5gyZQrXX3/93t3A\nTpSYi4gMOocgdIlilzA2ZDJJWUtHycF1DSOaYnIZMGqlKCKyz1paWmhvb+/5OAxDfN+npaWFfD4P\nQHt7OyNHjuzz/ffeey9nn332Xn3etrY2IKlL76533xdKzEVE9guD69VRDaCj0yFfdHAd29WlJWmj\nWJ+L8dwIPRgqIrL36urqiKKI9vZ2Xn311Z4E/LTTTuPBBx8E4MEHH2TKlCm7vffpp59m0qRJZLPZ\n3Y7tWs5ire312tSpU1m9ejUAq1ev5phjjtnne1G7RBGR/SrphR7FEc0NlvqcJbY7+p3njMUSU6oY\nYrVUFJFa5I8+4J9y7ty5rFmzhmeffZaLLrqIb3zjG5x99tk4jsMPfvADAC688EI++clPcvPNN/OB\nD3yAww8/HICLL76YH/7wh0DfZSwXXHABjz76KHfeeSfr1q3jyiuv5LbbbuP73/8+f/jDHzjjjDO4\n//77Of744xk3bhxtbW3kcjkWL168z/dl7K7/HDjIbd68mSAIhnoYu6mrq6NUKg31MPrk+z5jxoxR\n7PZC2mMH6Y2f7/s0NDRQLBZrJnauG+O7FouhPhdRrjhkMxbXsQShoaPTIbb7PznXvNs3aZ97aY9d\nmudeLcROhjctz4iIHCBRlKyeO8ZSrjoYA3VZSzU0ZDMxnmdBdeciIgctJeYiIgdQFLuUKg6VStJW\nMV908FxLpergOBbfs4Al48e0NAY01EU4ZvcfbBosjhOj+nQRkeFDNeYiIgecIbaGSiUim4UgcABL\nxoNyDK5jGTUixBiACGuhs+z2vNt1YpobQ7K+pVhyKFUcrDVEqlEXEalp+iouIjJEYlyqgSGKwRhL\nGBni2OA4dCXliWQVfYdsJqYua3EcaGqIyWUsY1oDPDfGMUmf9KwfYfpYaRcRkfTSirmIyBCKYtPV\ntcUhjg1hZHAMlCuGXDbp4NJZfos1FAOOA7lMRMa35LJJQp4vunR0uskJO7E2pqOwHWvD/XRXIiKy\nN5SYi4gMqSQZZ6eNQGML2wsebmeSmEdR78S8UnUoV2MyvqVUdvDdJBGPYodsZkeyXZeJKZUNUezu\n9G6L71apzxTJeobtBa+rDMZgbe8EXkREDiyVsoiIpFBsDUHo7JaUQ5KAb2v32bTVp7NksMD2gkul\nagjCHcl1JXAwpney7TqWlqYAx0lKZJrqI5obQ5obAjJe1PVAqYhIeuXzeU499VSam5t7dtv8yle+\nwhFHHMGVV17Z69xrr72W008/nVmzZvHyyy/vdq2+jn/5y19m5syZzJs3j2KxCMBnPvMZTj31VGbN\nmsX3vve9nvffdtttzJ49m1mzZvH444/v871pxVxEpAZZDDY2xDhsL+x4vb3DJevbpFeLtURvkWd3\n5+0NdTFR7NDoRWzLu1jcN3+jiEi34M+Ddy1/7Fue0tDQwLJly1i4cGHPa5dffjlnnnkm99xzT89r\nv/3tb3n11Vd7dv/cVV/Hn376abZs2cKjjz7KkiVL+MEPftDzeW655RaOO+64nnNff/117rzzTpYv\nXz7g29wTrZiLiAwjQZi0Y6wGDp0VD7vLhkVRbNhe8IliqAaGUsUh48fJA6hYspkY3wO1YRSRtHJd\nl1GjRrHzHpmHHHLIbufdeeeddHZ2Mnv2bC677DJ23VNz1+NxHPP8889z4oknAnDSSSexYsUKAIwx\nXHjhhbz//e/nd7/7HQC/+MUvyGazzJkzh/PPP5/Ozs59vjcl5iIiw0wUOwShs4eacUMQZSgFo9he\nyGCwdFYcCkWPhrqIStXBdSy+190jXQm6iNSmP//5z7iuy/Lly8nlcixZsuRNj99xxx0cd9xxPPLI\nIwA88MADbNu2DYDvfe97PPbYY1x33XV8/vOf73n/G2+8wQMPPMCUKVO4/vrr93nMSsxFRA4yxjg0\nNo7AOBmKZZ9ChwcWOkoe1cDguuA6kMtGtDZX8d3orS8qIpIyLS0tzJo1C4DZs2ezbt26tzw+adIk\npk+fzqxZs3jppZc49NBDAWhtbQVgwoQJOI6DtZaWlhba2tp63t9d774vlJiLiBzkYusQRIY4BkzS\nFcaYGM+11GVjWpoDPCdCq+cikja7lqfs/PHUqVNZvXo1AKtXr+aYY47pde6ejl9xxRU89NBDvOtd\n7+LDH/4wAIVC8jDPpk2bqFarGGPe8vp7o2Ye/mxvb+dnP/sZxWIRYwwnnXQSU6ZMoVQqsWTJEtrb\n22lpaWHevHnkcjkAVqxYwapVq3AchzPPPJPx48cP8V2IiKRTEDoYE+FZsFjq62Iq1WTtxnMtnm9x\n4ogwcoi1w6iI7KwfD2wOtrlz57JmzRqeffZZLrroIrZv386iRYt44403eO2111i8eDFz587l7rvv\npq2tjdGjR3PrrbcCcPHFF/PDH/5wj8fb2trwPI8TTjiB7373uwB88pOfZOvWrcRx3PPa8ccfz7hx\n42hrayOXy7F48eJ9vi9jd/2nRkoVCgU6Ojo47LDDqFQq3HTTTXziE59g9erV1NXVMW3aNFauXEmp\nVGLOnDls2rSJpUuX8rnPfY58Ps+iRYu49NJLd2sdtqvNmzcTBMEBuqv+q6uro1QqDfUw+uT7PmPG\njFHs9kLaYwfpjZ/v+zQ0NFAsFhW7AdrzvLN4rsVxLAZoaariONDR6WGtxTHgeZbtHf5+T87TGjtI\n/9xLe+zS/DWvFmInw1vNLHs0NTVx2GGHAZDNZhk9ejT5fJ7169f3PD07efJk1q9fD8CGDRuYNGkS\nruvS2trKqFGj2Lhx45CNX0Qk/Qxh5FANXCpB0r0lX/QwJgZjiDFk/BjXsbjqdy4iMuhqJjHf2bZt\n2/jTn/7EuHHjKBaLNDY2Akny3t0IvlAo0Nzc3POepqYm8vn8kIxXRKT2OFQCh0q1u8ML+F5MGBkM\nlpHNVbzdHgpVFxcRkX1RMzXm3SqVCrfffjtnnXUW2Wx2t+NvVarSLZ/P09HR0eu1xsZGPC+dIXFd\nF9/3h3oYfeqOmWI3cGmPHaQ3fp7nYYxR7PbCQOZdFEUEYUDGjwlCh3JkMMbi+0nPcwIPcHFMleaG\nKnEMhc4sFh9jDNZGGOKkdaNx+/01Oq2xg/TPvbTHbuff06YWYifDW039LUdRxO23387kyZM59thj\ngSSZ7ujooLGxkUKhQENDA7D7Cnk+n++1gv7000/z6KOP9rr+zJkze9reyMB1txKSgVPs9l5dXd1Q\nD6Fm9XfeFQrbCKsFbGwxWBrqYqwFA+SyHsa4NGTzOF0/gzWmgnVaieMIY7dSlw0IQkO+mCWbbaKh\nsbnfCXqaae7tPX3NE+lbvxPzZ555hlGjRjF27Fg6Ojr4zne+g+M4LFy4kPr6+v05xh533nknY8aM\nYcqUKT2vTZgwgdWrVzNt2jTWrFnDhAkTel5funQpU6ZMoVAosHXrVo444oie95188sk953ZrbGxk\n27ZthGF4QO5nILLZLJVKZaiH0SfP82htbVXs9kLaYwfpjZ/neeRyOcrlsmI3QHsz7+I4CzbEc0Oi\n2NDe4ZPxQzpKIYaAxtyOcx3HsjXfjudGjBqRPODne5ZcJiSOtrJ1SztR7GFxMMbpM0lPa+wg/XMv\n7bFL89e8WoidDG/9TszPO+88br/9dsaOHcsVV1zBhg0byOVyXHTRRfzkJz/Zn2ME4JVXXmHt2rUc\ncsgh3HjjjUDSzH3q1KksWbKEVatWMWLECObNmwckW7NOnDiRG264Add1mTt3bq8v/s3Nzb1W0Lul\n9Ulxz/NSOa6dhWGYyjEqdvsmzfGz1ip2+2DgsTNEsUcUxzgGytUMcZzUlbd3+IxoTK7V3uETRRbH\n2GRlvetLb2yhPhdhcciaKo6JKZZ9gsAhWX/fIe2xS/PcS3vsIL1f82ohdjK89btd4ogRI2hvb8da\ny9ixY3nmmWeoq6vj6KOPZtOmTft7nAdMWhPzWmjhpNgNXNpjB+mNX9pb1kG6Yzf4887iOsm3kyg2\nJIm2pS4b0VgfEIYOUWzIZiKqgYPnxljAMZaOTp9y1WPn5DytsYP0z720xy7NX/NqIXaSlCfPmTOH\n3//+9/zmN7/huOOO45JLLmHt2rWUSiWuvPJKzjnnHFauXMmCBQvYunUrr732Wp/Xuvbaa7n77ruJ\n45hbbrmFI488knXr1vHlL3+ZIAg499xzueiii1iwYAFr167FWsvXv/51Zs+ezaOPPsqnPvUpxo8f\nj+u6PPDAA/t8b/1eMc/lchQKBZ555hne/va3M3r0aMIwpFwu7/MgRESk1pmuhLz3a6WKS6Xq4PsR\nGc9SKns01gd0dHo01AdgkxaMcRwRxYbYmuRBURGpHUHfSe9e8Q9/y1MaGhpYtmwZCxcu7Hntmmuu\nwfM8isUi06ZN45xzzmHy5Mk89dRTzJgxo8/r/Pa3v+XVV1/lwQcf7PX6V77yFe64446ern8Af/d3\nf8dRRx3F9u3bef/738/jjz8OwCc+8Qm+/e1v782d9qnf7RLnz5/PrFmzOP/88/n0pz8NJDd09NFH\nD9pgRERkuDHE1qFS9ekoeVRDw7Z8hmwmwjHQUfLJZiKMA80NASMaKjTWBURR+lZTRSQdXNdl1KhR\n7Fz00d21pqOjg4kTJwJJI5Du3eD7cuedd9LZ2cns2bO57LLLsNby4osvEgQB8+fP56yzzmLDhg0A\nHHXUUQBkMhkcZ0f6fMcddzBz5kyuu+66Qbm3fq+YX3PNNdx///34vt/TucRxHK655ppBGYiIiAxv\n1jpUAwewxB0Gz4vJZUOKJR/HifH9mGrVpbkx4I32MsY4WFuT222IyBA477zzeOSRR/q9gv3nP/8Z\n3/dZvnw5V111FUuWLOHtb387a9euZf369bz88st86Utf4p577ul5z1e/+lUuueQSAN797nfz7LPP\nAvChD32I6dOn85d/+Zf7dA8D+op3xhln8Bd/8Rf8+te/5pVXXuGUU05h1qxZ+zQAERE52BiCKNm4\nqFR2wUJjXUip4uH7yaZFrmNprAtw2HUTIxGRvv3Xf/0X69ev5xvf+Ea/zm9paenJY2fPns26deto\naWnh5JNPprGxkYkTJ7J58+ae82+55RaiKGL+/PkA1NfX43kenufxwQ9+kDVr1uzzPfQ7MX/99deZ\nOXMm73jHO/jYxz7G+PHjmTlz5h6L6UVERPbMEEYu5apHEDm0d2QwxPiepVJNHhStz4VkMjGOUXIu\nIn3rLmepVqtA8kzkrl339tTnZOrUqaxevRqA1atXc8wxx/COd7yDLVu2EEURf/zjH2lpaQHgwQcf\n5H/+53+49tpre95fKBR6/rxy5UrGjx+/z/fT71KWiy++mMmTJ7Ns2bKep9G/+tWvsmDBAu666659\nHoiIiByMHIIQwIKFMHLBWnJ+RBC5+F4EWMKo65iIpE8/HtgcbHPnzmXNmjU8++yzXHTRRfzsZz9j\n+/btBEHA1VdfDcD69eu55JJLeO655zjjjDP4zne+w+TJk1mwYAE33ngjc+fO5e6776atrY3Ro0dz\n66234rouCxcu5H3vex9xHPfUji9YsIDW1lZmz55NfX0999xzD7fffjs33XQTvu8zdepUpk2bts/3\n1e92iaNHj+b111/vtVVtpVLhiCOOYMuWLfs8kLRQC6eBU/urvZf22EF645f2lnWQ7tildd45JiKb\niXDdpHliFCd90H0vZnshy679zodC2udeWucdpHvuQW3EToa3fpeytLa28swzz/R6bcOGDT1L/CIi\nIvsqti7lqksUGWILGT/p3mKtwaikRUSGuX6Xslx55ZWcfvrpXHDBBRx55JG89NJL/PjHP+brX//6\n/hyfiIgcZKx1qVQNnhtjsLhuTBA4eK7t6neukhYRGZ76nZh/7nOfY/z48SxevJi1a9dy+OGHc+ut\ntzJ79uz9OT4RETkIOa6H55YJY0Nkk6Q8jA1ZP6KzYhhgUzERkZrQ78S8Wq3y8MMP88gjj/Daa69x\nxBFHcOihhzJ16tQ3bd4uIiIyUK7rE0ZVWporOAbyHRkaclUqoYfvxYQRXSvohihWki4iw8OAurJs\n2LCB66+/niOPPJJXXnmFb37zm2zcuJGbb755f45RREQOMo7jUKp4vLHd4DqWbCagGnp4boSNDBk/\nYERjQBgathWyBKFLGh4MFRHZF/1OzP/3f/+X559/vudhz+OOO473vOc9jB8/Xom5iIjsF0k9eUQQ\nurguxJGD41jcrkVyz7Nk/RgDVMN+f0sTEUmlfv/879BDD6Wzs7PXa6VSicMOO2zQByUiItItil3C\nyKG7uW8QGupyYc9xC+SyEa6jri0iB4N8Ps+pp55Kc3Nzr46BxWKRQw45hGXLlvU6f8GCBZx77rl7\nvN6ux6+77jqmTZvGRz7yETo6OgD41a9+xZQpU5g2bVpPn/T9od/LC5/61Kc488wzueSSSxg3bhyv\nvvoqN9xwA3/zN3/DQw891HNe99amIiIigyWMPOI4BiC2hnwH5LIhYeiQ8SOqVZeMF1Gq6sFQkQMu\neHXwruW/7S1PaWhoYNmyZSxcuLDX69dddx2nnHJKr9defvllXn/9dbLZbJ/X2vX4G2+8wd13383K\nlSu59dZbueGGG7jqqqv49re/zU9/+lPGjx/P6aefzp/+9CcOPfTQvbzJPet3Yv6jH/0IgH/5l3/p\n9fqNN97IjTfeCIAxhhdeeGEQhyciIpKI7Y6Eu1TxCUJDxo+JAxfjxHgOuKEltklpy87ni8jw4bou\no0aNYuc9MguFAmvXrmXKlCm9zv32t7/NFVdcwfXXX9/ntXY9/uSTTzJz5kwAzjzzTD796U8DMHHi\nRLZu3UoYhsRxTH19/X64swEk5i+++OJ+GYCIiMjeCCNwHYPnWVzHUg08XDem3o+pz4Vszee6HgoV\nkeHu2muv5ZJLLuH+++/vee3FF1/EGMORRx7Z53v6Or5t2zaam5sBGDFiBFu3bgXgox/9KB/72MfI\n5XJ8/OMf7zlnsGk5QUREapRHHEMc05WAW3wvxmJwXUtLYwXPC4F4qAcqIvtRPp9nzZo1vPe97+31\n+re+9S0WLlxIHMe9Vtff7HhLSwvt7e0AtLe3M3LkSAAuv/xyVqxYwXPPPce6detYv379frkXPcIu\nIiI1K4hcMDG+G+MYcAxkM8mDoRZorAsolZP69CBy0HqUyPBirWX9+vVs3LiRs88+m+eee46f//zn\nHH/88bz88stcfPHFdHZ28uyzz3LzzTfz2c9+tue9fR3/0Ic+xDXXXAPAfffdx9SpU4GkhWt3Z8KW\nlhby+fx+uR8l5iIiUsMcgtBgbdLD3BhLfS4kCA2dZZ8RjRWqgUtDXZVKxaMU+MS9NiRKVtnBEoYO\nVom7yMD144HNwTZ37lzWrFnDs88+y0UXXcRjjz0GwD//8z9zyimn8La3vY1f/OIXQJKAL1y4sCcp\nv/jii/nhD3+4x+Nz585l2rRpjBw5ksWLFwPwD//wD5x55plkMhmOPfZY3vOe9+yX+zK2r7X9g9jm\nzZsJgmCoh7Gburo6SqXSUA+jT77vM2bMGMVuL6Q9dpDe+Pm+T0NDA8ViUbEboOE+7zw3pL4upD4X\nYoCt+SytTWU6yz7VwKVc9bvOtNTnAkY0VjAGCkWfSsXD9WKC0CWM+q5PT/vcS+u8g/TPvVqInQxv\nWjEXEZFhJYw8SmUIApfYGhpyFTpKGeqyIZVgR7JtjKWxvorp2jC0sT7AYmhuqBDFhi3b6rs2OBIR\nOTD0MzsRERl2gtCjVPGIIugsZ8h4IeWqS3WnxNxaQxDs+DYYhgbXSR4UdR2L58XowVEROZC0Yi4i\nIsOUIYw8wshSCdyuOnTT63i+mCMIA4yxVKoeI0ckO1yHkQFryfkhYewQRvp2KSL7n77SiIjIMLfj\n4dBdRbFDRynZ8c+YgHwxi+OAjXd0eIlih3IFAiXnIrKf6auMiIgIYK1PEAZkvBiMBZP0QzcmTspa\nTFcbRpu0aFPvBBEZbErMRUREugShTxyH+F6E78VUqh71uSqdFZ+GXBXfj4liQ0cxJusHeK6hUvWw\nVo9sici+01cSERGRnUSxR6XqEkYOGOgoZfC9CIvBGEsuE+F7SZvFkc1lGuqqGCKSLY1EZH/L5/Oc\neuqpNDc388wzzwDQ1tbGzJkzmTVrVk/v8ZUrVzJp0iQOP/zwPq+zp+NXX301733veznttNN6+qNf\nf/31HH300Zx77rk95/385z9nypQpzJgxg8svv7zn9Xe+853MmjWLWbNmsXz58gHdm1bMRUREdmHx\nqFSTVXPfj/DcmDBy8VxLFBscZ0cSnvEioqzBYihXfHo/YCpyEAheGbxr+W9/y1MaGhpYtmwZCxcu\n7PX6vffeS319fc/HkydP5qmnnmLGjBl9Xqev49u2bePhhx/m17/+NX/84x+54IILuO+++zjvvPP4\nwAc+wFVXXdVz7oknnshjjz2G4zjMnz+f3/72t5x00kmMGDGChx56aKB3DmjFXEREpE+xdakEHsVS\nhvZCljA05DsybG2vw/ciIKk3rwQujmNpaSrhudEQj1pk+HNdl1GjRvV6zsNxHM466yw+8pGP8Mor\nyT8UmpqayOVye7xOX8ebmpoYNWoUYRiydevWnk2dRo8ejeP0TpvHjRvX81omk+n5c0dHB21tbXzy\nk59k+/btA7o3rZiLiIjs0Y6OLuVq0gPdcRw6SoZqkGxIFMc22ZwoNjhOjBOHxNZFK+ciB84dd9xB\na2srv/zlL7nkkku488479+o6nudxwgkn8M53vpNKpcKyZcve8j1PPvkkmzdv5sQTTwTgscceo7W1\nlZ/+9Kd87Wtf47rrruv359eKuYiIyAC4rkuuroVyNUM1cMj4EdYaCp1ZXMeS8ZMHQ7U5kciB09ra\nCsCMGTN47bXX9vo6GzZs4Mknn+SFF17giSee4Itf/OKbnv/HP/6RL33pSyxatGi3sZxzzjn87ne/\nG9DnV2IuIiL/v717D46zuu8//jnneZ7VyrpYsjCpL2AudhU7njHEaaGJHYqTum7cjGFit1BIaTOE\nNKakl5lOO+00hen0mtKSgMvAJGmGQJoE2jhOTAid4LiGTIbgYhMMwnZ+mItMgm9oddvL85zz+2Nt\nxcIC675H0vs1A7KffbT+7tdH1kdnz3MejJC1kYytUyW16i8m6u1P5L1kjZe1Xs2NxYHlLgAmzqnl\nLN3d3ZKk5557TnPmzBnynLM9x6lft7S0SJKam5vV29s76LHTz+3p6dG1116re+65R21tbZKkSqWi\ncrksSfrf//1fLV68eESvh6UsAACMWqQ084qiTMZIcZwpc9W7jCZxpkoaiTkwTHvDuGBzvK1fv157\n9+7V/v37ddNNN+muu+4auPBzy5YtkqSOjg7dcsstOnDggNauXavPfOYzWrFihT75yU/q7rvvfsvH\n582bp1WrVilNU/31X/+1JOlrX/ua7rrrLh08eFBr167Vo48+qjvuuEOHDh3SH/7hH0qSbrvtNrW3\nt+tDH/qQGhsbVVdXpy9+8Ysjel3Gc4eEAcViUcViMcibRlhr5VyYb4saY5TL5VQul+ndCIXeOync\n/hljFEWRsiyjdyPEuBubN489771cVpH3JeWSVHVJqlI5keRVLMeyUaQoqpcxk7PmPPTehTz2Qu/d\nqZlcTF/MmJ8mn8+ru7tblUql1qWcob6+Xv39/bUuY0hJkqilpUW9vb30boRC750Ubv+SJFEul1Ox\nWKR3I8S4G5u3HntGUqSBvOmlOMrUOKtfXT3V7RYnQ+i9C3nshd47TH+8vwYAwLg4PXj76nKWxCmK\nxDaKAIaFYA4AwDippPHJdeVGUZxVl71YJy8pidipBcDbI5gDADBujCppolLZKk1jyUtdPXnF1ml2\nU1H1deEt3wAQDoI5AADjzHmrulyqhvqSZuXLqmSR4sgpn0tlbVrr8gAEios/AQAYZ95H6urJq7c/\npzjKNKe5T9ZK5TRSXZKqkkpZZuWZHwNwGv5FAABgQlilWazMWXX31el4oV7OSUnsFEVOs+rLtS4Q\nmJIKhYIuu+wyNTc367nnnpMkXXXVVVqzZo2uuOKKgZv9fP7zn9fll1+u973vfbr99tvPeJ7HH39c\ny5cv1/z58wcdb25u1po1a7RmzRrt27dPkvT7v//7uuyyy7RmzZohn2u8MGMOAMAEqqSxvJeSOFMS\nO+UF1k0AACAASURBVKVpJGud6usq6ivG8p5vxZjiKv9v/J4rueispzQ0NOjhhx/Wn/3Znw0c27p1\nqyRp586duu+++yRJv/Zrv6Ybb7xRkrR69WrdcMMNOueccwY+Z8WKFXrqqaf0/ve/f9Dzv/Od79Rj\njz12xp/7H//xH1q2bNnIX9MIMGMOAMCEMkqzSJmLlGaRjHWaVZeqXIkV2/BusgOELooitbW1DXmT\nqgcffFC/9Vu/JUlatGjRwPFcLidrB8fepqYm5fP5M57j4MGD+tVf/VVt3rxZ5XL1nS1jjG688Ub9\n+q//up555pnxfDmDEMwBAJhwVuVKonIlkvdGxXKsLJOs9WILRWB8eO+1Y8cOffCDHxx0/Bvf+IYu\nvvhizZkzZ1jP85Of/ETf//73NX/+fG3ZskWSdPvtt+sHP/iBPve5z+mmm24a99pPIZgDADBJvPdy\nJyf5vIyiyEli1hwYD7t27dKv/MqvKIp+frOvvXv3asuWLbrzzjuH/Tytra2SpI985CPau3fvoGPt\n7e0yxgw5Wz8eCOYAAEySzBk5Z+WdkTFezlc/Ahid0wPy6ctYJKmzs1N/8Ad/oPvvv191dXXDeo6+\nvj45V30Xa9euXVq8eLEkqbu7W5L0+uuvq1KpyBgzrq/jFK44AQBgknlJ3lXnxqzxysjmmMqGccHm\neFu/fr327t2r/fv36xOf+IQ++tGPaufOnfrsZz87cM7f/M3f6OjRo/qd3/kdSdI999yjJUuW6JOf\n/KTuvvtudXR06JZbbtGBAwe0du1afeYzn5EkfexjH1NTU5NaW1sHLiS9/vrrdfz4cTnn9C//8i8T\n9rqMn6i5+CnqyJEjqlTCuzNbfX29+vv7a13GkJIk0dy5c+ndKITeOync/iVJooaGBvX29tK7EWLc\njc3Yxp5T06ziwP7lSVRRd19eaZaMW32h9y7ksTcVeofpjaUsAABMGqtiKZE1TnGUqbeYlxEXgAKo\nYikLAACTKMuMiuVIxhhZk8lHRpF3yhxzZcBMRzAHAGASOVkZ4xRH1Vly5yRjmDEHwFIWAAAmmVWW\nVXdoOXWVlzVGLGcBQDAHAGCSRdafXFte3S7RRo5ZcwAEcwAAJls5jZXE1R1ackkmeSmO2CQNmOlY\nYw4AwCTzPlJfKVKxFCuyTpGt3uTEmlTO860ZmKn46gcAoAaMrGY39csYqVKxKqd1SmKnUnjbewOY\nJARzAABqoJJG6urJyxhJXqrPlVXJYlUvAmWlKTAT8ZUPAEBNWGWZlZFXEqdKXSzJy9qs1oUBqBGC\nOQAANZK5SM4bOW8l7+W9UWS5CBSYqQjmAADUjJFzRt4byUjGeBnrJRHOgZmIYA4AQA05Z+ScTt5s\nyMhKMmI5CzATEcwBAKgh5428TPUiUFOdKY9jZs2BmYhgDgBATUWKo0zWSrH1aqgvyUhKorTWhQGY\nZARzAABqrFROqmvNJXX31SuyTknsal0WgElGMAcAoMYyF6tUssoyoyTOlMSZZLyMYdYcmEmm1A2G\nvvnNb2r//v1qaGjQ5s2bJUn9/f168MEH1dXVpZaWFm3atEn5fF6StGvXLj399NOy1mrdunVavHhx\nLcsHAOAtZd7IuUjGODlj5LxREjmVyebAjDGlZswvueQSXX/99YOOPf7447rooot0yy236MILL9Su\nXbskSa+//rr27dunm2++Wdddd522b98u77mQBgAQqkjOe3nvlWWmeuOhJGOHFmAGmVLBfNGiRaqv\nrx90rKOjQ5dccokkacWKFero6JAkvfDCC1q+fLmiKFJra6va2trU2dk56TUDADA8RpW0esMha6Rc\nnMl7qyhirTkwU0ypYD6U3t5eNTY2SpKamprU29srSeru7lZzc/PAeU1NTSoUCjWpEQCA4YkUGS9j\nJS+rWfnqDi1i1hyYEabUGvPhMMYM67xCoaCenp5BxxobGxXHYbYkiiIlSVLrMoZ0qmf0buRC750U\nbv/iOJYxht6NAuNubCZy7DnnlDqrSF7eSoXevKx1Sowkkx/Wc4Teu9M/hmYq9A7T25T/W25sbFRP\nT48aGxvV3d2thoYGSWfOkBcKhUEz6Lt379bOnTsHPdcVV1yhK6+8cnIKn4ZaW1trXcKURe9G783L\n2zB8jLuxmaixd/TIq6qv61ESOxXLiSppJDmvhoZG5afJeGfsAUObcsH8zRdwtre3a8+ePVq1apX2\n7t2r9vb2geP//d//rcsvv1zd3d06fvy4FixYMPB5K1euHDj3lMbGRp04cUJpGt4l8HV1dSqVSrUu\nY0hxHKu1tZXejULovZPC7V8cx8rn8yoWi/RuhBh3YzPRYy/LYnX1zlJknaIok1H1QtCurhPqftM7\nvUMJvXchj72p0DtMb1MqmD/00EM6dOiQ+vv79a//+q+68sortWrVKn3961/X008/rdmzZ2vTpk2S\npHPPPVfvete7tGXLFkVRpPXr1w9a5tLc3DxoBv2UI0eOqFKpTNprGq44joOs63RpmgZZI70bm5D7\n572nd2NA70Zv4seeU2SM5K28JGO8vEtVGcZ1oKH3Tgp37E2F3mF6m1LBfOPGjUMev+GGG4Y8vnr1\naq1evXoiSwIAYNwZWRnjZIyXkZQ5I2MlsUELMK1NqWAOAMBM4GWVS0qSsTKSkjhVmk35jdQAnAXB\nHACA4Fj1l3JKEledMc8iDW/PMQBTGT9+AwAQIH/yf957RXGmKM7EfubA9EYwBwAgQEZSLqkojp3y\nSSYjqXopKIDpiqUsAAAEKM0i9RdzimOnSiWS85KNnByT5sC0RTAHACBIVt5XZ86jyEnOyHtWmgPT\nGUtZAAAIlFd1q0TvjXQypLNnIjB9EcwBAAiWkeRP3mSoeqOhOGItCzBdEcwBAAhUmll5GVnjZa2X\nMVJknQyz5sC0RDAHACBYkdLUyjkj7yVrnaz1ipg1B6YlgjkAAAHLXKwss5I3kq/OnhvjJbZOBKYd\ngjkAAEEziqJMNvKykVddriJjxFpzYBoimAMAELhyORlYytLbn1dkM8VRpjiq1Lo0AOOIYA4AQOAy\nH6tYilUux7LWKY6cjPHK5VLlc0UZw8WgwHTADYYAAJgCMhcr8hUl1st5qzjyypxRXS6TlJ48x8i5\npLaFAhg1gjkAAFOCUblSfaM7iTJlvrrHeV2SKsusmhqKkqRjXZI0VDh3qu6Lzt1DgVARzAEAmDJi\nVSrVZSuRdaqvS+W8JFO9AZEk5eJU5Uqsnwdwr1xS0eyGfmXOqNA7S2l25rf/yGaSvDIXifAO1AbB\nHACAKcTLqlzJyRincprIyqmtpWfg8dRZVbdSrIbryDq1ze6RMdV5dK9+nSg06vTwncQVtc3uljFe\n3b316unPi8vQgMlHMAcAYAry3irLpExeJwoNyiWpKlkk595+uUpk37z/uVdTQ5/syeNNDf0qlRNV\nMoI5MNn4qgMAYEqLVarE6i8lSitWxjTo9GCeOatCb728l5yTunrq9ebg7t3gOGCslzWpuIkRMLmY\nMQcAYMqzSrNTF4bGkk7f39yotz+vYiknSSfXkGvw48WcjPGy1qmvWCdrMuUSJ++dvK+G+8wRGYCJ\nxlcZAADTnhkikP9cJY3V2+8HlrNEVpJxqq8rKnOR4ijVsa4mOcI5MKFYygIAwAznfaRKWg3d1kpx\nnCo6uV+6NV5J7JTEmSKb1rhSYHojmAMAADkfq1iuU7kSK8usrMlUKifKJZWTF5RK+bqKkrhylmcC\nMFq8JwUAACRVd3qppFaVNFZkUuVyqXr688oyq8g6GeM1q66krjQSc3vA+OOrCgAAvIlR5hOVK4nS\ntLqcJZ8ryxov583JmxEBGG/MmAMAgCFlLlaxLCWxk4w/GcytrHXKXK2rA6YfZswBAMBb8j6W91Ka\nWlWySN6b6taKhrXmwHgjmAMAgLeVZUZeRlbVWXNrTs6ii2lzYDwRzAEAwNtyPpFzVt4beW8UR5lk\npCRm+0RgPBHMAQDAWaWpVeqNnHRyf3OnyDJrDowngjkAADgrr1gus5KXrPVK4kxeRkmcynLjIWBc\nsCsLAAAYliyLFEdOWSZlihRHmZw1SkyqUqm6iwuA0TPee1/rIkJRLBZVLBYVYkustXIuzLcLjTHK\n5XIql8v0boRC750Ubv+MMYqiSFmW0bsRYtyNTehjbyJ755xTlvYoiTJZ62XkFCdOaRopc0aZb1YU\nvXU4D33shT7uWlpaal0GJhg/2p4mn8+ru7tblUp4W0DV19erv7+/1mUMKUkStbS0qLe3l96NUOi9\nk8LtX5IkyuVyKhaL9G6EGHdjE/rYm/jexTKSEpsqjp2cqy5nycqJsrRX5XLuLT8z9LEX+rjD9Mca\ncwAAMAJGlSxRsRSrWM7JS6qksSSvJMnExaDA6BHMAQDAiDmfKMus0jSS81JknSLjZA3BHBgtgjkA\nABiVNDNyzsoYyZjqNorGhLd2HJgqCOYAAGCUYnlJzhllLpL3hmAOjAHBHAAAjNrpm5gY+ZPBPKtZ\nPcBURjAHAACj583ATLm1XtZI+bpSrasCpiSCOQAAGDXnrbwk742cMzLWqy5JZU142yECoSOYAwCA\nUXM+ru7M4oyMlRry/SpXcooiJ4n15sBIEMwBAMCYZC6Rc0aSV7FcJ8krsl7WsNYcGAmCOQAAGLNK\nFinLrPzJi0GNcYose5oDI0EwBwAAY+Z9rMxZSdULQSPrZCPHWnNgBAjmAABgXBijahi3Ui7JZGRO\nfmRJCzAcBHMAADAuKmmsShrLGqe+Up2SuCwvoyRJa10aMCXEtS4AAABMF1alciSpur48c5GSKFUl\nI24Aw8GMOQAAGEexsiyW90aRdXLeSN5LYtYcOBt+hAUAAOMqc5J1p839GSlmhxbgrJgxBwAA48r7\nWN5L1ngZ42XkZa2Xc1wECrwdgjkAABhnRt4bZb4aM4z1krzky7UtCwgcS1kAAMC4c87IO8lbI0my\n1st7p7TCvubAW2HGHAAAjDvnE2XOVpeyGK/Iesl4dXcfqXVpQLAI5gAAYGJ4yTsjySjzRnHk5F1J\nznEhKDAUgjkAAJgQqUtUcScvBJWUryvJ2kzOsXUiMBSCOQAAmCBG3jkZ42UjpyyLFUepJF/rwoAg\nEcwBAMCEcc4oc1a5uCJjnIrlOlnDtonAUNiVBQAATBivRM6V1N2XlzVSZDPJe2UuqXVpQHCYMQcA\nABPIyFopFzvFcaZ8XVkyptZFAUEimAMAgAmVZVbGOtUlFRVLdfLeyVr2MwfejGAOAAAmVJpFKpdj\n9fTXy3uvOPJKYtaZA29GMAcAABMskoxREqeKI6mxvih5I2uYNQdORzAHAAATzmVWRkZJUlFPf72c\n94pjJ7ZOBH5u2u/KcuDAAT3yyCPy3uvd7363Vq1aVeuSAACYcVIXq1h2qqRW1jrV5VKlaazIVpS5\nXK3LA4IwrWfMnXN6+OGH9dGPflQ333yzfvzjH+vIkSO1LgsAgBnIyHkra72s9ZI3Mkaqy7GcBThl\nWgfzzs5OtbW1qaWlRVEUafny5XrhhRdqXRYAADOStfWqpFH1pkPeKo4zOR/JBLbW3JpM+Vy/8nX9\nimxa63Iwg0zrYN7d3a3m5uaB3zc3N6tQKNSwIgAAZi5jjKIoJ+esjKrbKMp5xdbVurTTODU19GjO\n7C7Nae7S7MaCjAmpPkxn036N+VspFArq6ekZdKyxsVFxHGZLoihSkoR5l7RTPaN3Ixd676Rw+xfH\nsYwx9G4UGHdjE/rYC713TU2tOnH8VcXGSV4yVtWLQm3ta46iSHFslc+VBo7V5cqKI0mmtvWFOt4w\nvqb133JTU5O6uroGfl8oFAZm0Hfv3q2dO3cOOv+KK67QlVdeOak1Tietra21LmHKonejV19fX+sS\npizG3dgw9kavqelc9fYeVWwrsjbRrIZzVJefVeuyJEn5upyKpR411Fcn70rlejU1tSpf31DjyjAT\nTOtgvmDBAh0/flxvvPGGGhsb9eyzz2rjxo2SpJUrV6q9vX3Q+Y2NjTpx4oTSNLz1ZHV1dSqVSmc/\nsQbiOFZrayu9G4XQeyeF2784jpXP51UsFundCDHuxib0sRd671pbW9VfLClzeWUuL0kqp71Sd2+N\nq/t577xvVKmcSEZKs5yM6VN3T19NazvVO0xv0zqYW2v1oQ99SF/+8pflvdell16quXPnSqquNz99\n/fkpR44cUaUS1kUoUvULMsS6TpemaZA10ruxCbl/3nt6Nwb0bvRCHnuh906qjr0Qf6g5vXep6k57\nJOx+YvqY1sFckpYsWaIlS5bUugwAAADgbU3rXVkAAACAqYJgDgAAAASAYA4AAAAEgGAOAAAABIBg\nDgAAAASAYA4AAAAEgGAOAAAABIBgDgAAAASAYA4AAAAEgGAOAAAABIBgDgAAAASAYA4AAAAEgGAO\nAAAABIBgDgAAAASAYA4AAAAEgGAOAAAABIBgDgAAAASAYA4AAAAEgGAOAAAABIBgDgAAAASAYA4A\nAAAEgGAOAAAABIBgDgAAAASAYA4AAAAEgGAOAAAABIBgDgAAAASAYA4AAAAEgGAOAAAABIBgDgAA\nAASAYA4AAAAEgGAOAAAABIBgDgAAAASAYA4AAAAEwHjvfa2LCEWxWFSxWFSILbHWyjlX6zKGZIxR\nLpdTuVymdyMUeu+kcPtnjFEURcqyjN6NEONubEIfe6H3LuSxF3rvWlpaal0GJlhc6wJCks/n1d3d\nrUqlUutSzlBfX6/+/v5alzGkJEnU0tKi3t5eejdCofdOCrd/SZIol8upWCzSuxFi3I1N6GMv9N6F\nPPZC7x2mP5ayAAAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAEg\nmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCY\nAwAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgD\nAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCYAwAAAAGIa13A\ncOzbt0/f//73dfToUX384x/X/PnzBx7btWuXnn76aVlrtW7dOi1evFiSdPjwYW3dulVpmmrJkiX6\njd/4jVqVDwAAAJzVlJgxf8c73qFrrrlGixYtGnT8yJEj2rdvn26++WZdd9112r59u7z3kqTt27dr\nw4YN+tSnPqVjx47p4MGDtSgdAAAAGJYpEczPOecctbW1nXG8o6NDy5cvVxRFam1tVVtbmzo7O9Xd\n3a1SqaQFCxZIklasWKGOjo7JLhsAAAAYtikRzN9Kd3e3mpubB37f1NSkQqFwxvHm5mYVCoValAgA\nAAAMSzBrzO+77z719PSccfwDH/iA2tvbx/3PKxQKZ/x5jY2NiuNgWjJIFEVKkqTWZQzpVM/o3ciF\n3jsp3P7FcSxjDL0bBcbd2IQ+9kLv3ekfQzMVeofpLZi/5d/93d8d8eecmiE/pVAoqLm5+S2Pn273\n7t3auXPnoGOLFi3SRz7yEbW2to64lpmsUChox44dWrlyJb0bIXo3eoVCQT/84Q/p3Sgw7saGsTd6\njL3RO713b840mD6m9FKW9vZ2Pfvss0rTVCdOnNDx48e1YMECNTU1qa6uTq+++qq899q7d+8Zs+4r\nV67UTTfdNPDf1VdfrZdeemnIWXu8vZ6eHu3cuZPejQK9Gz16N3r0bmzo3+jRu9GjdzNDMDPmb+f5\n55/Xd77zHfX19ekrX/mKfuEXfkHXX3+9zj33XL3rXe/Sli1bFEWR1q9fL2OMJGn9+vWDtktcsmTJ\noOdsbm7mJ04AAAAEY0oE86VLl2rp0qVDPrZ69WqtXr36jOPz58/X5s2bJ7o0AAAAYFxM6aUsAAAA\nwHQR3XrrrbfWuogQeO+Vy+V0wQUXqK6urtblTCn0bvTo3ejRu9Gjd2ND/0aP3o0evZsZjD91q8wZ\nqL+/Xw8++KC6urrU0tKiTZs2KZ/Pn3HeN7/5Te3fv18NDQ0zennMgQMH9Mgjj8h7r3e/+91atWrV\nGec8/PDDOnjwoJIk0VVXXaV58+bVoNIwna1/R48e1datW/Xaa6/pAx/4gN773vfWqNLwnK13zzzz\njJ544glJUi6X02/+5m/qHe94Ry1KDc7ZetfR0aEdO3bIGCNrrdatW6fzzz+/RtWGZTj/5klSZ2en\nvvCFL2jjxo1atmzZJFcZprP17tChQ/rP//zPgZ1Zli5dqiuuuKIWpQZpOGPvxRdf1He/+11lWaaG\nhgb93u/93uQXivHnZ7BHH33U79q1y3vv/a5du/yjjz465HmHDh3yhw8f9lu2bJnM8oKSZZm/4447\n/IkTJ3yapv7f//3f/euvvz7onP379/v777/fe+/9K6+84u+9995alBqk4fSvp6fHd3Z2+u9973v+\niSeeqFGl4RlO715++WXf39/vva+OQ8Ze1XB6VyqVBn7905/+1N95552TXWaQhtO7U+d96Utf8vff\nf7/ft29fDSoNz3B69+KLL/oHHnigRhWGbTj96+/v93fddZfv6ury3le/f2B6mNFrzDs6OnTJJZdI\nklasWKGOjo4hz1u0aJHq6+sns7TgdHZ2qq2tTS0tLYqiSMuXL9cLL7ww6JyOjg6tWLFCkrRw4UKV\nSiW2dTppOP1raGjQ/PnzZe2M/rI8w3B6d9555w2827Vw4UJ1d3fXotTgDKd3uVxu4NflcnlgZ6uZ\nbji9k6Qnn3xSy5YtU0NDQw2qDNNwe4ehDad/P/7xj7V06dKB3eUYf9PHjE4Avb29amxslFS9WVFv\nb2+NKwpXd3f3oO0lm5ubB93Eaahz3nyjp5lsOP3D0Ebau//7v//T4sWLJ6O04A23d88//7zuuusu\nfeUrX9GGDRsms8RgDad3hUJBHR0d+qVf+qXJLi9owx13r7zyiu6++2498MADev311yezxKANp3/H\njh1Tf3+/vvSlL+nee+/V3r17J7tMTJApsV3iWNx3331DztquWbPmjGPMFAFT24svvqg9e/boYx/7\nWK1LmVJObUn70ksv6bHHHhvVnZhnokceeUQf/OAHa13GlDRv3jz9yZ/8iXK5nA4cOKCvfvWr+tSn\nPlXrsqYM55xee+013XDDDapUKvr85z+vhQsXqq2trdalYYymfTB/u28wjY2N6unpUWNjo7q7u3kr\n6G00NTWpq6tr4PeFQuGMGzS9eYZ8qHNmquH0D0Mbbu9++tOf6lvf+pauv/76Gb/07JSRjrtFixbp\nxIkT6uvr06xZsyajxGANp3eHDx/WQw89JEnq6+vTgQMHZK3VO9/5zkmtNTTD6d3pu4osWbJE27dv\nZ9ydNJz+NTc3a9asWUqSREmSaNGiRfrZz35GMJ8GZvRSlvb2du3Zs0eStHfvXrW3t7/luX7mbl4j\nSVqwYIGOHz+uN954Q2ma6tlnnz2jX+3t7QNvp73yyivK5/MDS4VmuuH0D0MbTu/eeOMNff3rX9fV\nV1+tOXPm1KjS8Aynd8ePHx/49eHDh5VlGeFIw+vdH//xHw/8t2zZMq1fv37Gh3JpeL07/Z3sV199\nVd57xt1Jw/1++/LLL8s5p3K5rM7OTp1zzjk1qhjjaUZvl9jX16cHH3xQhUJBs2fP1qZNm1RfX6/u\n7m5t27ZN1113nSTpoYce0qFDh9Tf36+GhgZdeeWVuvTSS2tc/eQ7ffumSy+9VKtXr9ZTTz0lSXrP\ne94jSdq+fbsOHjyoXC6nDRs2aP78+bUsOShn619PT4/uvfdelUolGWOUy+V08803s1+tzt67bdu2\n6fnnn9fs2bMlSdZa3XTTTbUsORhn693jjz+uvXv3KooiJUmitWvX6rzzzqtx1WEYzr95p2zdulW/\n+Iu/yHaJJ52td08++aR+9KMfKYoixXGsdevWaeHChTWuOhzDGXtPPPGE9uzZI2OMVq5cqcsuu6yW\nJWOczOhgDgAAAIRiRi9lAQAAAEJBMAcAAAACQDAHAAAAAkAwBwAAAAJAMAcAAAACQDAHAAAAAkAw\nBwAAAAJAMAcAAAACQDAHAAAAAkAwBwAAAAJAMAcAAAACQDAHAAAAAkAwBwAAAAJAMAcAAAACQDAH\nAAAAAkAwBwAAAAJAMAcAAAACQDAHAAAAAkAwBwAM24UXXqjHHnus1mUAwLREMAcAAAACQDAHAAAA\nAkAwB4Ap5J/+6Z+0cOFCNTc3a+nSpdqxY4duu+02bdq0Sddcc42am5v1nve8R88888zA57z22mva\nuHGjzj33XF188cW68847Bx7z3usf//EftXjxYs2dO1fXXHON3njjjYHHv/zlL+uCCy7Q3Llz9fd/\n//eT+loBYKYhmAPAFLF//35t2bJFu3fvVqFQ0He/+11dcMEFkqRt27bpt3/7t3XixAlde+21uuqq\nq5Rlmbz3+vCHP6xLL71Ur732mr73ve/ps5/9rP7nf/5HkvS5z31O27Zt065du3T48GG1trZq8+bN\nkqTnnntOmzdv1gMPPKDDhw/r2LFj6uzsrNXLB4Bpj2AOAFNEFEUql8t69tlnlaapzj//fF144YWS\npJUrV+rqq69WFEX60z/9U5VKJf3whz/Uj370Ix09elR/9Vd/pSiKdMEFF+jGG2/UV7/6VUnSPffc\no7/7u7/TvHnzlCSJPv3pT+uhhx6Sc07/9V//pQ9/+MN63/vepyRJ9Ld/+7cyxtSyBQAwrcW1LgAA\nMDwXX3yx7rjjDt16663at2+f1q1bp9tvv12SdN555w2cZ4zRggULdPjwYUlSZ2en5syZI6m6dMU5\np/e///2SpJdeeklXX321rLUDjydJop/97Gc6fPjwoOedNWuW2traJuW1AsBMxIw5AEwh11xzjXbt\n2qWXX35ZkvTnf/7nkqRXXnll4BzvvV599VXNnz9f5513ni666CIdP35cx48f14kTJ9TV1aVv2TRo\naAAAAY5JREFUfetbkqTzzz9f3/nOdwY93tvbq3nz5mnevHmDnrevr0/Hjh2bxFcLADMLwRwApoj9\n+/drx44dKpfLyuVyqq+vVxRFkqTdu3dr69atyrJM//Zv/6Z8Pq/LL79cv/zLv6ympib98z//s4rF\norIs0759+/TUU09Jkj7xiU/oL//yLweC/pEjR7Rt2zZJ0saNG/Xtb39bP/jBD1SpVPTpT39a3vva\nvHgAmAEI5gAwRZRKJf3FX/yF5s6dq/nz5+vIkSP6h3/4B0nShg0b9LWvfU2tra164IEH9I1vfENR\nFMlaq29/+9vas2ePLrzwQp177rn6+Mc/rkKhIEn6oz/6I23YsEFr167V7Nmz9d73vldPPvmkJGnZ\nsmXasmWLrr32Ws2fP19tbW1auHBhzV4/AEx3xjP9AQBT2m233aaf/OQnuu+++2pdCgBgDJgxBwAA\nAAJAMAcAAAACwFIWAAAAIADMmAMAAAABIJgDAAAAASCYAwAAAAEgmAMAAAABIJgDAAAAASCYAwAA\nAAH4/0dLs91jVTKBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105e8b750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (285724137)>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='speed', y='pos', color='speed')) + \\\n",
    "    geom_point() + \\\n",
    "    scale_color_gradient(low='FloralWhite', high='LemonChiffon')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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be4yf0cf2WocoIiIiIaUZc5FRFKGRuD+BmcEK/MCnZPRiEecx5zo8o4gVxFlcvYtxnPum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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ffc4590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (285728933)>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='speed', y='pos', color='speed')) + \\\n",
    "    geom_point() + \\\n",
    "    scale_color_gradient(low='LawnGreen', high='DarkSalmon')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
